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Finding the Fourth Proportional to 9,966.98, 14,955.51 and 5,523.78

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Solution

The fourth proportional to 9,966.98, 14,955.51 and 5,523.78 is: 8,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.98 : 14,955.51 = 5,523.78 : x
  2. Step 2: Convert to fraction form
    9,966.98/14,955.51 = 5,523.78/x
  3. Step 3: Cross multiply
    9,966.98x = 14,955.51 × 5,523.78
  4. Step 4: Simplify right side
    9,966.98x = 82,610,947.03
  5. Step 5: Solve for x
    x = 82,610,947.03/9,966.98
  6. Step 6: Final answer
    x = 8,288.47

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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.