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Finding the Fourth Proportional to 9,443.79, 14,138.96 and 7,849.71

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Solution

The fourth proportional to 9,443.79, 14,138.96 and 7,849.71 is: 11,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.79 : 14,138.96 = 7,849.71 : x
  2. Step 2: Convert to fraction form
    9,443.79/14,138.96 = 7,849.71/x
  3. Step 3: Cross multiply
    9,443.79x = 14,138.96 × 7,849.71
  4. Step 4: Simplify right side
    9,443.79x = 110,986,696.45
  5. Step 5: Solve for x
    x = 110,986,696.45/9,443.79
  6. Step 6: Final answer
    x = 11,752.35

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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.