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Finding the Fourth Proportional to 15,842.52, 21,857.04 and 9,553.68

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Solution

The fourth proportional to 15,842.52, 21,857.04 and 9,553.68 is: 13,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.52 : 21,857.04 = 9,553.68 : x
  2. Step 2: Convert to fraction form
    15,842.52/21,857.04 = 9,553.68/x
  3. Step 3: Cross multiply
    15,842.52x = 21,857.04 × 9,553.68
  4. Step 4: Simplify right side
    15,842.52x = 208,815,165.91
  5. Step 5: Solve for x
    x = 208,815,165.91/15,842.52
  6. Step 6: Final answer
    x = 13,180.68

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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.