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Finding the Fourth Proportional to 4,952.92, 7,428.17 and 1,665.94

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Solution

The fourth proportional to 4,952.92, 7,428.17 and 1,665.94 is: 2,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.92 : 7,428.17 = 1,665.94 : x
  2. Step 2: Convert to fraction form
    4,952.92/7,428.17 = 1,665.94/x
  3. Step 3: Cross multiply
    4,952.92x = 7,428.17 × 1,665.94
  4. Step 4: Simplify right side
    4,952.92x = 12,374,885.53
  5. Step 5: Solve for x
    x = 12,374,885.53/4,952.92
  6. Step 6: Final answer
    x = 2,498.50

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1.5x scale

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.