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Finding the Fourth Proportional to 6,562.32, 9,841.80 and 1,944.24

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Solution

The fourth proportional to 6,562.32, 9,841.80 and 1,944.24 is: 2,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.32 : 9,841.80 = 1,944.24 : x
  2. Step 2: Convert to fraction form
    6,562.32/9,841.80 = 1,944.24/x
  3. Step 3: Cross multiply
    6,562.32x = 9,841.80 × 1,944.24
  4. Step 4: Simplify right side
    6,562.32x = 19,134,821.23
  5. Step 5: Solve for x
    x = 19,134,821.23/6,562.32
  6. Step 6: Final answer
    x = 2,915.86

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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.