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Finding the Fourth Proportional to 7,649.60, 11,475.27 and 3,267.50

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Solution

The fourth proportional to 7,649.60, 11,475.27 and 3,267.50 is: 4,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.60 : 11,475.27 = 3,267.50 : x
  2. Step 2: Convert to fraction form
    7,649.60/11,475.27 = 3,267.50/x
  3. Step 3: Cross multiply
    7,649.60x = 11,475.27 × 3,267.50
  4. Step 4: Simplify right side
    7,649.60x = 37,495,387.35
  5. Step 5: Solve for x
    x = 37,495,387.35/7,649.60
  6. Step 6: Final answer
    x = 4,901.62

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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.