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Finding the Fourth Proportional to 5,962.83, 8,900.49 and 5,523

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Solution

The fourth proportional to 5,962.83, 8,900.49 and 5,523 is: 8,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.83 : 8,900.49 = 5,523 : x
  2. Step 2: Convert to fraction form
    5,962.83/8,900.49 = 5,523/x
  3. Step 3: Cross multiply
    5,962.83x = 8,900.49 × 5,523
  4. Step 4: Simplify right side
    5,962.83x = 49,157,406.27
  5. Step 5: Solve for x
    x = 49,157,406.27/5,962.83
  6. Step 6: Final answer
    x = 8,243.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.