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Finding the Fourth Proportional to 9,703.53, 13,392.96 and 6,166.05

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Solution

The fourth proportional to 9,703.53, 13,392.96 and 6,166.05 is: 8,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.53 : 13,392.96 = 6,166.05 : x
  2. Step 2: Convert to fraction form
    9,703.53/13,392.96 = 6,166.05/x
  3. Step 3: Cross multiply
    9,703.53x = 13,392.96 × 6,166.05
  4. Step 4: Simplify right side
    9,703.53x = 82,581,661.01
  5. Step 5: Solve for x
    x = 82,581,661.01/9,703.53
  6. Step 6: Final answer
    x = 8,510.48

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Half scale
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Double scale
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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.