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Finding the Fourth Proportional to 5,280.78, 7,922.52 and 1,583

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Solution

The fourth proportional to 5,280.78, 7,922.52 and 1,583 is: 2,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.78 : 7,922.52 = 1,583 : x
  2. Step 2: Convert to fraction form
    5,280.78/7,922.52 = 1,583/x
  3. Step 3: Cross multiply
    5,280.78x = 7,922.52 × 1,583
  4. Step 4: Simplify right side
    5,280.78x = 12,541,349.16
  5. Step 5: Solve for x
    x = 12,541,349.16/5,280.78
  6. Step 6: Final answer
    x = 2,374.90

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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.