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Finding the Fourth Proportional to 15,962.16, 22,025.04 and 9,248.64

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Solution

The fourth proportional to 15,962.16, 22,025.04 and 9,248.64 is: 12,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,962.16 : 22,025.04 = 9,248.64 : x
  2. Step 2: Convert to fraction form
    15,962.16/22,025.04 = 9,248.64/x
  3. Step 3: Cross multiply
    15,962.16x = 22,025.04 × 9,248.64
  4. Step 4: Simplify right side
    15,962.16x = 203,701,665.95
  5. Step 5: Solve for x
    x = 203,701,665.95/15,962.16
  6. Step 6: Final answer
    x = 12,761.54

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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.