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Finding the Fourth Proportional to 9,960.76, 14,939.22 and 8,024.20

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Solution

The fourth proportional to 9,960.76, 14,939.22 and 8,024.20 is: 12,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.76 : 14,939.22 = 8,024.20 : x
  2. Step 2: Convert to fraction form
    9,960.76/14,939.22 = 8,024.20/x
  3. Step 3: Cross multiply
    9,960.76x = 14,939.22 × 8,024.20
  4. Step 4: Simplify right side
    9,960.76x = 119,875,289.12
  5. Step 5: Solve for x
    x = 119,875,289.12/9,960.76
  6. Step 6: Final answer
    x = 12,034.75

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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.