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Finding the Fourth Proportional to 9,098.82, 13,650.15 and 2,859.47

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Solution

The fourth proportional to 9,098.82, 13,650.15 and 2,859.47 is: 4,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.82 : 13,650.15 = 2,859.47 : x
  2. Step 2: Convert to fraction form
    9,098.82/13,650.15 = 2,859.47/x
  3. Step 3: Cross multiply
    9,098.82x = 13,650.15 × 2,859.47
  4. Step 4: Simplify right side
    9,098.82x = 39,032,126.17
  5. Step 5: Solve for x
    x = 39,032,126.17/9,098.82
  6. Step 6: Final answer
    x = 4,289.80

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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.