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Finding the Fourth Proportional to 10,697.97, 14,767.26 and 9,576.83

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Solution

The fourth proportional to 10,697.97, 14,767.26 and 9,576.83 is: 13,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.97 : 14,767.26 = 9,576.83 : x
  2. Step 2: Convert to fraction form
    10,697.97/14,767.26 = 9,576.83/x
  3. Step 3: Cross multiply
    10,697.97x = 14,767.26 × 9,576.83
  4. Step 4: Simplify right side
    10,697.97x = 141,423,593.46
  5. Step 5: Solve for x
    x = 141,423,593.46/10,697.97
  6. Step 6: Final answer
    x = 13,219.66

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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.