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Finding the Fourth Proportional to 6,647.60, 9,972.60 and 2,264.24

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Solution

The fourth proportional to 6,647.60, 9,972.60 and 2,264.24 is: 3,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.60 : 9,972.60 = 2,264.24 : x
  2. Step 2: Convert to fraction form
    6,647.60/9,972.60 = 2,264.24/x
  3. Step 3: Cross multiply
    6,647.60x = 9,972.60 × 2,264.24
  4. Step 4: Simplify right side
    6,647.60x = 22,580,359.82
  5. Step 5: Solve for x
    x = 22,580,359.82/6,647.60
  6. Step 6: Final answer
    x = 3,396.77

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1.5x scale

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.