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Finding the Fourth Proportional to 8,117.46, 11,200.98 and 4,531.98

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Solution

The fourth proportional to 8,117.46, 11,200.98 and 4,531.98 is: 6,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.46 : 11,200.98 = 4,531.98 : x
  2. Step 2: Convert to fraction form
    8,117.46/11,200.98 = 4,531.98/x
  3. Step 3: Cross multiply
    8,117.46x = 11,200.98 × 4,531.98
  4. Step 4: Simplify right side
    8,117.46x = 50,762,617.34
  5. Step 5: Solve for x
    x = 50,762,617.34/8,117.46
  6. Step 6: Final answer
    x = 6,253.51

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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.