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Finding the Fourth Proportional to 9,314.26, 12,853.62 and 5,065.20

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Solution

The fourth proportional to 9,314.26, 12,853.62 and 5,065.20 is: 6,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.26 : 12,853.62 = 5,065.20 : x
  2. Step 2: Convert to fraction form
    9,314.26/12,853.62 = 5,065.20/x
  3. Step 3: Cross multiply
    9,314.26x = 12,853.62 × 5,065.20
  4. Step 4: Simplify right side
    9,314.26x = 65,106,156.02
  5. Step 5: Solve for x
    x = 65,106,156.02/9,314.26
  6. Step 6: Final answer
    x = 6,989.95

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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.