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Finding the Fourth Proportional to 11,703.65, 16,140.51 and 7,728.75

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Solution

The fourth proportional to 11,703.65, 16,140.51 and 7,728.75 is: 10,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.65 : 16,140.51 = 7,728.75 : x
  2. Step 2: Convert to fraction form
    11,703.65/16,140.51 = 7,728.75/x
  3. Step 3: Cross multiply
    11,703.65x = 16,140.51 × 7,728.75
  4. Step 4: Simplify right side
    11,703.65x = 124,745,966.66
  5. Step 5: Solve for x
    x = 124,745,966.66/11,703.65
  6. Step 6: Final answer
    x = 10,658.73

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Half scale
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Double scale
Find fourth proportional to 11,704.65, 16,141.89 and 7,729.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.