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Finding the Fourth Proportional to 9,757.66, 13,461.42 and 6,220.12

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Solution

The fourth proportional to 9,757.66, 13,461.42 and 6,220.12 is: 8,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.66 : 13,461.42 = 6,220.12 : x
  2. Step 2: Convert to fraction form
    9,757.66/13,461.42 = 6,220.12/x
  3. Step 3: Cross multiply
    9,757.66x = 13,461.42 × 6,220.12
  4. Step 4: Simplify right side
    9,757.66x = 83,731,647.77
  5. Step 5: Solve for x
    x = 83,731,647.77/9,757.66
  6. Step 6: Final answer
    x = 8,581.12

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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.