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Finding the Fourth Proportional to 9,765.97, 13,476.99 and 5,574.22

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Solution

The fourth proportional to 9,765.97, 13,476.99 and 5,574.22 is: 7,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.97 : 13,476.99 = 5,574.22 : x
  2. Step 2: Convert to fraction form
    9,765.97/13,476.99 = 5,574.22/x
  3. Step 3: Cross multiply
    9,765.97x = 13,476.99 × 5,574.22
  4. Step 4: Simplify right side
    9,765.97x = 75,123,707.20
  5. Step 5: Solve for x
    x = 75,123,707.20/9,765.97
  6. Step 6: Final answer
    x = 7,692.40

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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.