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Finding the Fourth Proportional to 7,707.96, 10,658.70 and 7,359.48

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Solution

The fourth proportional to 7,707.96, 10,658.70 and 7,359.48 is: 10,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.96 : 10,658.70 = 7,359.48 : x
  2. Step 2: Convert to fraction form
    7,707.96/10,658.70 = 7,359.48/x
  3. Step 3: Cross multiply
    7,707.96x = 10,658.70 × 7,359.48
  4. Step 4: Simplify right side
    7,707.96x = 78,442,489.48
  5. Step 5: Solve for x
    x = 78,442,489.48/7,707.96
  6. Step 6: Final answer
    x = 10,176.82

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Half scale
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Double scale
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Similar ratio
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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.