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Finding the Fourth Proportional to 8,312.85, 11,472.87 and 4,775.98

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Solution

The fourth proportional to 8,312.85, 11,472.87 and 4,775.98 is: 6,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.85 : 11,472.87 = 4,775.98 : x
  2. Step 2: Convert to fraction form
    8,312.85/11,472.87 = 4,775.98/x
  3. Step 3: Cross multiply
    8,312.85x = 11,472.87 × 4,775.98
  4. Step 4: Simplify right side
    8,312.85x = 54,794,197.66
  5. Step 5: Solve for x
    x = 54,794,197.66/8,312.85
  6. Step 6: Final answer
    x = 6,591.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.