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Finding the Fourth Proportional to 10,566.59, 15,843.74 and 6,129.71

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Solution

The fourth proportional to 10,566.59, 15,843.74 and 6,129.71 is: 9,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.59 : 15,843.74 = 6,129.71 : x
  2. Step 2: Convert to fraction form
    10,566.59/15,843.74 = 6,129.71/x
  3. Step 3: Cross multiply
    10,566.59x = 15,843.74 × 6,129.71
  4. Step 4: Simplify right side
    10,566.59x = 97,117,481.06
  5. Step 5: Solve for x
    x = 97,117,481.06/10,566.59
  6. Step 6: Final answer
    x = 9,191.00

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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.