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Finding the Fourth Proportional to 6,306.01, 9,459.02 and 3,496.57

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Solution

The fourth proportional to 6,306.01, 9,459.02 and 3,496.57 is: 5,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.01 : 9,459.02 = 3,496.57 : x
  2. Step 2: Convert to fraction form
    6,306.01/9,459.02 = 3,496.57/x
  3. Step 3: Cross multiply
    6,306.01x = 9,459.02 × 3,496.57
  4. Step 4: Simplify right side
    6,306.01x = 33,074,086.07
  5. Step 5: Solve for x
    x = 33,074,086.07/6,306.01
  6. Step 6: Final answer
    x = 5,244.85

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Half scale
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Double scale
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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.