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Finding the Fourth Proportional to 4,363.77, 6,545.73 and 4,142.24

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Solution

The fourth proportional to 4,363.77, 6,545.73 and 4,142.24 is: 6,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.77 : 6,545.73 = 4,142.24 : x
  2. Step 2: Convert to fraction form
    4,363.77/6,545.73 = 4,142.24/x
  3. Step 3: Cross multiply
    4,363.77x = 6,545.73 × 4,142.24
  4. Step 4: Simplify right side
    4,363.77x = 27,113,931.20
  5. Step 5: Solve for x
    x = 27,113,931.20/4,363.77
  6. Step 6: Final answer
    x = 6,213.42

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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.