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Finding the Fourth Proportional to 7,098.74, 9,796.29 and 4,266.17

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Solution

The fourth proportional to 7,098.74, 9,796.29 and 4,266.17 is: 5,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.74 : 9,796.29 = 4,266.17 : x
  2. Step 2: Convert to fraction form
    7,098.74/9,796.29 = 4,266.17/x
  3. Step 3: Cross multiply
    7,098.74x = 9,796.29 × 4,266.17
  4. Step 4: Simplify right side
    7,098.74x = 41,792,610.27
  5. Step 5: Solve for x
    x = 41,792,610.27/7,098.74
  6. Step 6: Final answer
    x = 5,887.33

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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.