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Finding the Fourth Proportional to 13,417.88, 18,517 and 7,449.24

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Solution

The fourth proportional to 13,417.88, 18,517 and 7,449.24 is: 10,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.88 : 18,517 = 7,449.24 : x
  2. Step 2: Convert to fraction form
    13,417.88/18,517 = 7,449.24/x
  3. Step 3: Cross multiply
    13,417.88x = 18,517 × 7,449.24
  4. Step 4: Simplify right side
    13,417.88x = 137,937,577.08
  5. Step 5: Solve for x
    x = 137,937,577.08/13,417.88
  6. Step 6: Final answer
    x = 10,280.13

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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.