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Finding the Fourth Proportional to 10,184.88, 15,244.76 and 6,646.58

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Solution

The fourth proportional to 10,184.88, 15,244.76 and 6,646.58 is: 9,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.88 : 15,244.76 = 6,646.58 : x
  2. Step 2: Convert to fraction form
    10,184.88/15,244.76 = 6,646.58/x
  3. Step 3: Cross multiply
    10,184.88x = 15,244.76 × 6,646.58
  4. Step 4: Simplify right side
    10,184.88x = 101,325,516.92
  5. Step 5: Solve for x
    x = 101,325,516.92/10,184.88
  6. Step 6: Final answer
    x = 9,948.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.