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Finding the Fourth Proportional to 9,966.96, 13,754.88 and 5,491.08

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Solution

The fourth proportional to 9,966.96, 13,754.88 and 5,491.08 is: 7,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.96 : 13,754.88 = 5,491.08 : x
  2. Step 2: Convert to fraction form
    9,966.96/13,754.88 = 5,491.08/x
  3. Step 3: Cross multiply
    9,966.96x = 13,754.88 × 5,491.08
  4. Step 4: Simplify right side
    9,966.96x = 75,529,146.47
  5. Step 5: Solve for x
    x = 75,529,146.47/9,966.96
  6. Step 6: Final answer
    x = 7,577.95

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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.