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Finding the Fourth Proportional to 9,604.70, 13,242.54 and 8,013.66

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Solution

The fourth proportional to 9,604.70, 13,242.54 and 8,013.66 is: 11,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.70 : 13,242.54 = 8,013.66 : x
  2. Step 2: Convert to fraction form
    9,604.70/13,242.54 = 8,013.66/x
  3. Step 3: Cross multiply
    9,604.70x = 13,242.54 × 8,013.66
  4. Step 4: Simplify right side
    9,604.70x = 106,121,213.10
  5. Step 5: Solve for x
    x = 106,121,213.10/9,604.70
  6. Step 6: Final answer
    x = 11,048.88

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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.