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Finding the Fourth Proportional to 15,734.59, 23,601.94 and 6,374.78

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Solution

The fourth proportional to 15,734.59, 23,601.94 and 6,374.78 is: 9,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.59 : 23,601.94 = 6,374.78 : x
  2. Step 2: Convert to fraction form
    15,734.59/23,601.94 = 6,374.78/x
  3. Step 3: Cross multiply
    15,734.59x = 23,601.94 × 6,374.78
  4. Step 4: Simplify right side
    15,734.59x = 150,457,159.14
  5. Step 5: Solve for x
    x = 150,457,159.14/15,734.59
  6. Step 6: Final answer
    x = 9,562.19

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1.5x scale

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.