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Finding the Fourth Proportional to 9,294.75, 13,920.26 and 7,107.75

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Solution

The fourth proportional to 9,294.75, 13,920.26 and 7,107.75 is: 10,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.75 : 13,920.26 = 7,107.75 : x
  2. Step 2: Convert to fraction form
    9,294.75/13,920.26 = 7,107.75/x
  3. Step 3: Cross multiply
    9,294.75x = 13,920.26 × 7,107.75
  4. Step 4: Simplify right side
    9,294.75x = 98,941,692.48
  5. Step 5: Solve for x
    x = 98,941,692.48/9,294.75
  6. Step 6: Final answer
    x = 10,644.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.