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Finding the Fourth Proportional to 6,658.14, 9,988.17 and 2,041.50

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Solution

The fourth proportional to 6,658.14, 9,988.17 and 2,041.50 is: 3,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.14 : 9,988.17 = 2,041.50 : x
  2. Step 2: Convert to fraction form
    6,658.14/9,988.17 = 2,041.50/x
  3. Step 3: Cross multiply
    6,658.14x = 9,988.17 × 2,041.50
  4. Step 4: Simplify right side
    6,658.14x = 20,390,849.06
  5. Step 5: Solve for x
    x = 20,390,849.06/6,658.14
  6. Step 6: Final answer
    x = 3,062.54

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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.