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Finding the Fourth Proportional to 9,744.84, 13,447.06 and 5,966.38

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Solution

The fourth proportional to 9,744.84, 13,447.06 and 5,966.38 is: 8,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.84 : 13,447.06 = 5,966.38 : x
  2. Step 2: Convert to fraction form
    9,744.84/13,447.06 = 5,966.38/x
  3. Step 3: Cross multiply
    9,744.84x = 13,447.06 × 5,966.38
  4. Step 4: Simplify right side
    9,744.84x = 80,230,269.84
  5. Step 5: Solve for x
    x = 80,230,269.84/9,744.84
  6. Step 6: Final answer
    x = 8,233.10

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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.