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Finding the Fourth Proportional to 5,248.96, 7,874.16 and 1,551.48

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Solution

The fourth proportional to 5,248.96, 7,874.16 and 1,551.48 is: 2,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.96 : 7,874.16 = 1,551.48 : x
  2. Step 2: Convert to fraction form
    5,248.96/7,874.16 = 1,551.48/x
  3. Step 3: Cross multiply
    5,248.96x = 7,874.16 × 1,551.48
  4. Step 4: Simplify right side
    5,248.96x = 12,216,601.76
  5. Step 5: Solve for x
    x = 12,216,601.76/5,248.96
  6. Step 6: Final answer
    x = 2,327.43

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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.