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Finding the Fourth Proportional to 12,465.57, 17,202.63 and 7,432.68

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Solution

The fourth proportional to 12,465.57, 17,202.63 and 7,432.68 is: 10,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.57 : 17,202.63 = 7,432.68 : x
  2. Step 2: Convert to fraction form
    12,465.57/17,202.63 = 7,432.68/x
  3. Step 3: Cross multiply
    12,465.57x = 17,202.63 × 7,432.68
  4. Step 4: Simplify right side
    12,465.57x = 127,861,643.95
  5. Step 5: Solve for x
    x = 127,861,643.95/12,465.57
  6. Step 6: Final answer
    x = 10,257.18

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1.5x scale

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.