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Finding the Fourth Proportional to 15,039.64, 22,562.46 and 4,651

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Solution

The fourth proportional to 15,039.64, 22,562.46 and 4,651 is: 6,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,039.64 : 22,562.46 = 4,651 : x
  2. Step 2: Convert to fraction form
    15,039.64/22,562.46 = 4,651/x
  3. Step 3: Cross multiply
    15,039.64x = 22,562.46 × 4,651
  4. Step 4: Simplify right side
    15,039.64x = 104,938,001.46
  5. Step 5: Solve for x
    x = 104,938,001.46/15,039.64
  6. Step 6: Final answer
    x = 6,977.43

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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.