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Finding the Fourth Proportional to 9,757.80, 13,462.14 and 6,220.20

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Solution

The fourth proportional to 9,757.80, 13,462.14 and 6,220.20 is: 8,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.80 : 13,462.14 = 6,220.20 : x
  2. Step 2: Convert to fraction form
    9,757.80/13,462.14 = 6,220.20/x
  3. Step 3: Cross multiply
    9,757.80x = 13,462.14 × 6,220.20
  4. Step 4: Simplify right side
    9,757.80x = 83,737,203.23
  5. Step 5: Solve for x
    x = 83,737,203.23/9,757.80
  6. Step 6: Final answer
    x = 8,581.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.