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Finding the Fourth Proportional to 10,549.71, 14,559.14 and 6,074.11

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Solution

The fourth proportional to 10,549.71, 14,559.14 and 6,074.11 is: 8,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.71 : 14,559.14 = 6,074.11 : x
  2. Step 2: Convert to fraction form
    10,549.71/14,559.14 = 6,074.11/x
  3. Step 3: Cross multiply
    10,549.71x = 14,559.14 × 6,074.11
  4. Step 4: Simplify right side
    10,549.71x = 88,433,817.87
  5. Step 5: Solve for x
    x = 88,433,817.87/10,549.71
  6. Step 6: Final answer
    x = 8,382.58

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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.