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Finding the Fourth Proportional to 10,970.38, 15,139.19 and 6,254.62

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Solution

The fourth proportional to 10,970.38, 15,139.19 and 6,254.62 is: 8,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.38 : 15,139.19 = 6,254.62 : x
  2. Step 2: Convert to fraction form
    10,970.38/15,139.19 = 6,254.62/x
  3. Step 3: Cross multiply
    10,970.38x = 15,139.19 × 6,254.62
  4. Step 4: Simplify right side
    10,970.38x = 94,689,880.56
  5. Step 5: Solve for x
    x = 94,689,880.56/10,970.38
  6. Step 6: Final answer
    x = 8,631.41

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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.