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Finding the Fourth Proportional to 9,463.96, 13,061.16 and 7,069.78

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Solution

The fourth proportional to 9,463.96, 13,061.16 and 7,069.78 is: 9,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.96 : 13,061.16 = 7,069.78 : x
  2. Step 2: Convert to fraction form
    9,463.96/13,061.16 = 7,069.78/x
  3. Step 3: Cross multiply
    9,463.96x = 13,061.16 × 7,069.78
  4. Step 4: Simplify right side
    9,463.96x = 92,339,527.74
  5. Step 5: Solve for x
    x = 92,339,527.74/9,463.96
  6. Step 6: Final answer
    x = 9,756.97

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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.