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Finding the Fourth Proportional to 5,877.27, 8,816.14 and 1,494.76

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Solution

The fourth proportional to 5,877.27, 8,816.14 and 1,494.76 is: 2,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.27 : 8,816.14 = 1,494.76 : x
  2. Step 2: Convert to fraction form
    5,877.27/8,816.14 = 1,494.76/x
  3. Step 3: Cross multiply
    5,877.27x = 8,816.14 × 1,494.76
  4. Step 4: Simplify right side
    5,877.27x = 13,178,013.43
  5. Step 5: Solve for x
    x = 13,178,013.43/5,877.27
  6. Step 6: Final answer
    x = 2,242.20

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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.