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Finding the Fourth Proportional to 6,542.57, 9,807.04 and 2,841.67

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Solution

The fourth proportional to 6,542.57, 9,807.04 and 2,841.67 is: 4,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.57 : 9,807.04 = 2,841.67 : x
  2. Step 2: Convert to fraction form
    6,542.57/9,807.04 = 2,841.67/x
  3. Step 3: Cross multiply
    6,542.57x = 9,807.04 × 2,841.67
  4. Step 4: Simplify right side
    6,542.57x = 27,868,357.15
  5. Step 5: Solve for x
    x = 27,868,357.15/6,542.57
  6. Step 6: Final answer
    x = 4,259.54

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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.