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Finding the Fourth Proportional to 6,132.70, 9,199.05 and 5,160.70

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Solution

The fourth proportional to 6,132.70, 9,199.05 and 5,160.70 is: 7,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.70 : 9,199.05 = 5,160.70 : x
  2. Step 2: Convert to fraction form
    6,132.70/9,199.05 = 5,160.70/x
  3. Step 3: Cross multiply
    6,132.70x = 9,199.05 × 5,160.70
  4. Step 4: Simplify right side
    6,132.70x = 47,473,537.34
  5. Step 5: Solve for x
    x = 47,473,537.34/6,132.70
  6. Step 6: Final answer
    x = 7,741.05

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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.