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Finding the Fourth Proportional to 9,897.78, 13,658.14 and 5,917.44

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Solution

The fourth proportional to 9,897.78, 13,658.14 and 5,917.44 is: 8,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.78 : 13,658.14 = 5,917.44 : x
  2. Step 2: Convert to fraction form
    9,897.78/13,658.14 = 5,917.44/x
  3. Step 3: Cross multiply
    9,897.78x = 13,658.14 × 5,917.44
  4. Step 4: Simplify right side
    9,897.78x = 80,821,223.96
  5. Step 5: Solve for x
    x = 80,821,223.96/9,897.78
  6. Step 6: Final answer
    x = 8,165.59

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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.