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Finding the Fourth Proportional to 10,089.87, 13,924.07 and 6,108.14

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Solution

The fourth proportional to 10,089.87, 13,924.07 and 6,108.14 is: 8,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.87 : 13,924.07 = 6,108.14 : x
  2. Step 2: Convert to fraction form
    10,089.87/13,924.07 = 6,108.14/x
  3. Step 3: Cross multiply
    10,089.87x = 13,924.07 × 6,108.14
  4. Step 4: Simplify right side
    10,089.87x = 85,050,196.10
  5. Step 5: Solve for x
    x = 85,050,196.10/10,089.87
  6. Step 6: Final answer
    x = 8,429.27

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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.