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Finding the Fourth Proportional to 11,654.40, 17,488 and 5,498.24

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Solution

The fourth proportional to 11,654.40, 17,488 and 5,498.24 is: 8,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.40 : 17,488 = 5,498.24 : x
  2. Step 2: Convert to fraction form
    11,654.40/17,488 = 5,498.24/x
  3. Step 3: Cross multiply
    11,654.40x = 17,488 × 5,498.24
  4. Step 4: Simplify right side
    11,654.40x = 96,153,221.12
  5. Step 5: Solve for x
    x = 96,153,221.12/11,654.40
  6. Step 6: Final answer
    x = 8,250.38

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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.