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Finding the Fourth Proportional to 6,201.70, 9,302.55 and 5,691.40

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Solution

The fourth proportional to 6,201.70, 9,302.55 and 5,691.40 is: 8,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.70 : 9,302.55 = 5,691.40 : x
  2. Step 2: Convert to fraction form
    6,201.70/9,302.55 = 5,691.40/x
  3. Step 3: Cross multiply
    6,201.70x = 9,302.55 × 5,691.40
  4. Step 4: Simplify right side
    6,201.70x = 52,944,533.07
  5. Step 5: Solve for x
    x = 52,944,533.07/6,201.70
  6. Step 6: Final answer
    x = 8,537.10

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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.