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Finding the Fourth Proportional to 6,584, 9,854.68 and 3,459.56

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Solution

The fourth proportional to 6,584, 9,854.68 and 3,459.56 is: 5,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584 : 9,854.68 = 3,459.56 : x
  2. Step 2: Convert to fraction form
    6,584/9,854.68 = 3,459.56/x
  3. Step 3: Cross multiply
    6,584x = 9,854.68 × 3,459.56
  4. Step 4: Simplify right side
    6,584x = 34,092,856.74
  5. Step 5: Solve for x
    x = 34,092,856.74/6,584
  6. Step 6: Final answer
    x = 5,178.14

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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.