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Finding the Fourth Proportional to 9,998.92, 13,793.51 and 5,962.90

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Solution

The fourth proportional to 9,998.92, 13,793.51 and 5,962.90 is: 8,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.92 : 13,793.51 = 5,962.90 : x
  2. Step 2: Convert to fraction form
    9,998.92/13,793.51 = 5,962.90/x
  3. Step 3: Cross multiply
    9,998.92x = 13,793.51 × 5,962.90
  4. Step 4: Simplify right side
    9,998.92x = 82,249,278.84
  5. Step 5: Solve for x
    x = 82,249,278.84/9,998.92
  6. Step 6: Final answer
    x = 8,225.82

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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.