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Finding the Fourth Proportional to 10,089.68, 13,924.68 and 5,898.56

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Solution

The fourth proportional to 10,089.68, 13,924.68 and 5,898.56 is: 8,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.68 : 13,924.68 = 5,898.56 : x
  2. Step 2: Convert to fraction form
    10,089.68/13,924.68 = 5,898.56/x
  3. Step 3: Cross multiply
    10,089.68x = 13,924.68 × 5,898.56
  4. Step 4: Simplify right side
    10,089.68x = 82,135,560.46
  5. Step 5: Solve for x
    x = 82,135,560.46/10,089.68
  6. Step 6: Final answer
    x = 8,140.55

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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.