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Finding the Fourth Proportional to 10,970.46, 15,139.17 and 6,254.64

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Solution

The fourth proportional to 10,970.46, 15,139.17 and 6,254.64 is: 8,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.46 : 15,139.17 = 6,254.64 : x
  2. Step 2: Convert to fraction form
    10,970.46/15,139.17 = 6,254.64/x
  3. Step 3: Cross multiply
    10,970.46x = 15,139.17 × 6,254.64
  4. Step 4: Simplify right side
    10,970.46x = 94,690,058.25
  5. Step 5: Solve for x
    x = 94,690,058.25/10,970.46
  6. Step 6: Final answer
    x = 8,631.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.