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Finding the Fourth Proportional to 15,685.92, 23,532.16 and 6,920.64

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Solution

The fourth proportional to 15,685.92, 23,532.16 and 6,920.64 is: 10,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.92 : 23,532.16 = 6,920.64 : x
  2. Step 2: Convert to fraction form
    15,685.92/23,532.16 = 6,920.64/x
  3. Step 3: Cross multiply
    15,685.92x = 23,532.16 × 6,920.64
  4. Step 4: Simplify right side
    15,685.92x = 162,857,607.78
  5. Step 5: Solve for x
    x = 162,857,607.78/15,685.92
  6. Step 6: Final answer
    x = 10,382.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.