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Finding the Fourth Proportional to 6,441.58, 9,644.12 and 4,095.76

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Solution

The fourth proportional to 6,441.58, 9,644.12 and 4,095.76 is: 6,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.58 : 9,644.12 = 4,095.76 : x
  2. Step 2: Convert to fraction form
    6,441.58/9,644.12 = 4,095.76/x
  3. Step 3: Cross multiply
    6,441.58x = 9,644.12 × 4,095.76
  4. Step 4: Simplify right side
    6,441.58x = 39,500,000.93
  5. Step 5: Solve for x
    x = 39,500,000.93/6,441.58
  6. Step 6: Final answer
    x = 6,132.04

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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.