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Finding the Fourth Proportional to 6,334.70, 9,502.05 and 6,205.10

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Solution

The fourth proportional to 6,334.70, 9,502.05 and 6,205.10 is: 9,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.70 : 9,502.05 = 6,205.10 : x
  2. Step 2: Convert to fraction form
    6,334.70/9,502.05 = 6,205.10/x
  3. Step 3: Cross multiply
    6,334.70x = 9,502.05 × 6,205.10
  4. Step 4: Simplify right side
    6,334.70x = 58,961,170.46
  5. Step 5: Solve for x
    x = 58,961,170.46/6,334.70
  6. Step 6: Final answer
    x = 9,307.65

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Similar ratio
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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.