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Finding the Fourth Proportional to 8,499.67, 11,724.66 and 5,307.42

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Solution

The fourth proportional to 8,499.67, 11,724.66 and 5,307.42 is: 7,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.67 : 11,724.66 = 5,307.42 : x
  2. Step 2: Convert to fraction form
    8,499.67/11,724.66 = 5,307.42/x
  3. Step 3: Cross multiply
    8,499.67x = 11,724.66 × 5,307.42
  4. Step 4: Simplify right side
    8,499.67x = 62,227,711.02
  5. Step 5: Solve for x
    x = 62,227,711.02/8,499.67
  6. Step 6: Final answer
    x = 7,321.19

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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.