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Finding the Fourth Proportional to 6,575.53, 9,865.60 and 4,107.46

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Solution

The fourth proportional to 6,575.53, 9,865.60 and 4,107.46 is: 6,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.53 : 9,865.60 = 4,107.46 : x
  2. Step 2: Convert to fraction form
    6,575.53/9,865.60 = 4,107.46/x
  3. Step 3: Cross multiply
    6,575.53x = 9,865.60 × 4,107.46
  4. Step 4: Simplify right side
    6,575.53x = 40,522,587.17
  5. Step 5: Solve for x
    x = 40,522,587.17/6,575.53
  6. Step 6: Final answer
    x = 6,162.63

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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.