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Finding the Fourth Proportional to 9,966.75, 13,754.75 and 5,490.51

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Solution

The fourth proportional to 9,966.75, 13,754.75 and 5,490.51 is: 7,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.75 : 13,754.75 = 5,490.51 : x
  2. Step 2: Convert to fraction form
    9,966.75/13,754.75 = 5,490.51/x
  3. Step 3: Cross multiply
    9,966.75x = 13,754.75 × 5,490.51
  4. Step 4: Simplify right side
    9,966.75x = 75,520,564.97
  5. Step 5: Solve for x
    x = 75,520,564.97/9,966.75
  6. Step 6: Final answer
    x = 7,577.25

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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.