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Finding the Fourth Proportional to 8,312.10, 12,468.15 and 4,145.87

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Solution

The fourth proportional to 8,312.10, 12,468.15 and 4,145.87 is: 6,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.10 : 12,468.15 = 4,145.87 : x
  2. Step 2: Convert to fraction form
    8,312.10/12,468.15 = 4,145.87/x
  3. Step 3: Cross multiply
    8,312.10x = 12,468.15 × 4,145.87
  4. Step 4: Simplify right side
    8,312.10x = 51,691,266.70
  5. Step 5: Solve for x
    x = 51,691,266.70/8,312.10
  6. Step 6: Final answer
    x = 6,218.80

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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.