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Finding the Fourth Proportional to 6,493.70, 9,742.35 and 4,306.70

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Solution

The fourth proportional to 6,493.70, 9,742.35 and 4,306.70 is: 6,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.70 : 9,742.35 = 4,306.70 : x
  2. Step 2: Convert to fraction form
    6,493.70/9,742.35 = 4,306.70/x
  3. Step 3: Cross multiply
    6,493.70x = 9,742.35 × 4,306.70
  4. Step 4: Simplify right side
    6,493.70x = 41,957,378.75
  5. Step 5: Solve for x
    x = 41,957,378.75/6,493.70
  6. Step 6: Final answer
    x = 6,461.24

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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.