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Finding the Fourth Proportional to 9,294.75, 12,826.96 and 5,103

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Solution

The fourth proportional to 9,294.75, 12,826.96 and 5,103 is: 7,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.75 : 12,826.96 = 5,103 : x
  2. Step 2: Convert to fraction form
    9,294.75/12,826.96 = 5,103/x
  3. Step 3: Cross multiply
    9,294.75x = 12,826.96 × 5,103
  4. Step 4: Simplify right side
    9,294.75x = 65,455,964.12
  5. Step 5: Solve for x
    x = 65,455,964.12/9,294.75
  6. Step 6: Final answer
    x = 7,042.25

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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.