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Finding the Fourth Proportional to 9,730.92, 13,452.53 and 9,642.07

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Solution

The fourth proportional to 9,730.92, 13,452.53 and 9,642.07 is: 13,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.92 : 13,452.53 = 9,642.07 : x
  2. Step 2: Convert to fraction form
    9,730.92/13,452.53 = 9,642.07/x
  3. Step 3: Cross multiply
    9,730.92x = 13,452.53 × 9,642.07
  4. Step 4: Simplify right side
    9,730.92x = 129,710,235.94
  5. Step 5: Solve for x
    x = 129,710,235.94/9,730.92
  6. Step 6: Final answer
    x = 13,329.70

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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.