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Finding the Fourth Proportional to 9,964.80, 13,561.20 and 9,964.80

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Solution

The fourth proportional to 9,964.80, 13,561.20 and 9,964.80 is: 13,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.80 : 13,561.20 = 9,964.80 : x
  2. Step 2: Convert to fraction form
    9,964.80/13,561.20 = 9,964.80/x
  3. Step 3: Cross multiply
    9,964.80x = 13,561.20 × 9,964.80
  4. Step 4: Simplify right side
    9,964.80x = 135,134,645.76
  5. Step 5: Solve for x
    x = 135,134,645.76/9,964.80
  6. Step 6: Final answer
    x = 13,561.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.