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Finding the Fourth Proportional to 11,398.96, 17,098.64 and 6,138.28

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Solution

The fourth proportional to 11,398.96, 17,098.64 and 6,138.28 is: 9,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.96 : 17,098.64 = 6,138.28 : x
  2. Step 2: Convert to fraction form
    11,398.96/17,098.64 = 6,138.28/x
  3. Step 3: Cross multiply
    11,398.96x = 17,098.64 × 6,138.28
  4. Step 4: Simplify right side
    11,398.96x = 104,956,123.75
  5. Step 5: Solve for x
    x = 104,956,123.75/11,398.96
  6. Step 6: Final answer
    x = 9,207.52

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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.