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Finding the Fourth Proportional to 8,597.10, 12,897 and 3,666.75

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Solution

The fourth proportional to 8,597.10, 12,897 and 3,666.75 is: 5,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.10 : 12,897 = 3,666.75 : x
  2. Step 2: Convert to fraction form
    8,597.10/12,897 = 3,666.75/x
  3. Step 3: Cross multiply
    8,597.10x = 12,897 × 3,666.75
  4. Step 4: Simplify right side
    8,597.10x = 47,290,074.75
  5. Step 5: Solve for x
    x = 47,290,074.75/8,597.10
  6. Step 6: Final answer
    x = 5,500.70

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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.