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Finding the Fourth Proportional to 6,562.47, 9,832.74 and 4,611.18

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Solution

The fourth proportional to 6,562.47, 9,832.74 and 4,611.18 is: 6,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.47 : 9,832.74 = 4,611.18 : x
  2. Step 2: Convert to fraction form
    6,562.47/9,832.74 = 4,611.18/x
  3. Step 3: Cross multiply
    6,562.47x = 9,832.74 × 4,611.18
  4. Step 4: Simplify right side
    6,562.47x = 45,340,534.03
  5. Step 5: Solve for x
    x = 45,340,534.03/6,562.47
  6. Step 6: Final answer
    x = 6,909.07

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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.