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Finding the Fourth Proportional to 9,666.54, 13,343.54 and 5,687.82

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Solution

The fourth proportional to 9,666.54, 13,343.54 and 5,687.82 is: 7,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.54 : 13,343.54 = 5,687.82 : x
  2. Step 2: Convert to fraction form
    9,666.54/13,343.54 = 5,687.82/x
  3. Step 3: Cross multiply
    9,666.54x = 13,343.54 × 5,687.82
  4. Step 4: Simplify right side
    9,666.54x = 75,895,625.24
  5. Step 5: Solve for x
    x = 75,895,625.24/9,666.54
  6. Step 6: Final answer
    x = 7,851.37

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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.