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Finding the Fourth Proportional to 9,967.75, 14,960.85 and 5,040.85

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Solution

The fourth proportional to 9,967.75, 14,960.85 and 5,040.85 is: 7,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.75 : 14,960.85 = 5,040.85 : x
  2. Step 2: Convert to fraction form
    9,967.75/14,960.85 = 5,040.85/x
  3. Step 3: Cross multiply
    9,967.75x = 14,960.85 × 5,040.85
  4. Step 4: Simplify right side
    9,967.75x = 75,415,400.72
  5. Step 5: Solve for x
    x = 75,415,400.72/9,967.75
  6. Step 6: Final answer
    x = 7,565.94

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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.