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Finding the Fourth Proportional to 12,657.52, 17,468.36 and 7,352.02

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Solution

The fourth proportional to 12,657.52, 17,468.36 and 7,352.02 is: 10,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.52 : 17,468.36 = 7,352.02 : x
  2. Step 2: Convert to fraction form
    12,657.52/17,468.36 = 7,352.02/x
  3. Step 3: Cross multiply
    12,657.52x = 17,468.36 × 7,352.02
  4. Step 4: Simplify right side
    12,657.52x = 128,427,732.09
  5. Step 5: Solve for x
    x = 128,427,732.09/12,657.52
  6. Step 6: Final answer
    x = 10,146.36

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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.