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Finding the Fourth Proportional to 8,280.66, 12,400.22 and 4,946.85

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Solution

The fourth proportional to 8,280.66, 12,400.22 and 4,946.85 is: 7,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.66 : 12,400.22 = 4,946.85 : x
  2. Step 2: Convert to fraction form
    8,280.66/12,400.22 = 4,946.85/x
  3. Step 3: Cross multiply
    8,280.66x = 12,400.22 × 4,946.85
  4. Step 4: Simplify right side
    8,280.66x = 61,342,061.64
  5. Step 5: Solve for x
    x = 61,342,061.64/8,280.66
  6. Step 6: Final answer
    x = 7,407.87

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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.