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Finding the Fourth Proportional to 8,266.14, 12,334.95 and 7,294.14

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Solution

The fourth proportional to 8,266.14, 12,334.95 and 7,294.14 is: 10,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.14 : 12,334.95 = 7,294.14 : x
  2. Step 2: Convert to fraction form
    8,266.14/12,334.95 = 7,294.14/x
  3. Step 3: Cross multiply
    8,266.14x = 12,334.95 × 7,294.14
  4. Step 4: Simplify right side
    8,266.14x = 89,972,852.19
  5. Step 5: Solve for x
    x = 89,972,852.19/8,266.14
  6. Step 6: Final answer
    x = 10,884.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.