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Finding the Fourth Proportional to 8,635.52, 12,938.70 and 6,900.50

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Solution

The fourth proportional to 8,635.52, 12,938.70 and 6,900.50 is: 10,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.52 : 12,938.70 = 6,900.50 : x
  2. Step 2: Convert to fraction form
    8,635.52/12,938.70 = 6,900.50/x
  3. Step 3: Cross multiply
    8,635.52x = 12,938.70 × 6,900.50
  4. Step 4: Simplify right side
    8,635.52x = 89,283,499.35
  5. Step 5: Solve for x
    x = 89,283,499.35/8,635.52
  6. Step 6: Final answer
    x = 10,339.10

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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.