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Finding the Fourth Proportional to 10,842.32, 16,266.11 and 3,726.47

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Solution

The fourth proportional to 10,842.32, 16,266.11 and 3,726.47 is: 5,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.32 : 16,266.11 = 3,726.47 : x
  2. Step 2: Convert to fraction form
    10,842.32/16,266.11 = 3,726.47/x
  3. Step 3: Cross multiply
    10,842.32x = 16,266.11 × 3,726.47
  4. Step 4: Simplify right side
    10,842.32x = 60,615,070.97
  5. Step 5: Solve for x
    x = 60,615,070.97/10,842.32
  6. Step 6: Final answer
    x = 5,590.60

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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.