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Finding the Fourth Proportional to 9,294.06, 12,824.29 and 5,314.53

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Solution

The fourth proportional to 9,294.06, 12,824.29 and 5,314.53 is: 7,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.06 : 12,824.29 = 5,314.53 : x
  2. Step 2: Convert to fraction form
    9,294.06/12,824.29 = 5,314.53/x
  3. Step 3: Cross multiply
    9,294.06x = 12,824.29 × 5,314.53
  4. Step 4: Simplify right side
    9,294.06x = 68,155,073.93
  5. Step 5: Solve for x
    x = 68,155,073.93/9,294.06
  6. Step 6: Final answer
    x = 7,333.19

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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.