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Finding the Fourth Proportional to 9,964.80, 15,141.96 and 9,964.80

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Solution

The fourth proportional to 9,964.80, 15,141.96 and 9,964.80 is: 15,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.80 : 15,141.96 = 9,964.80 : x
  2. Step 2: Convert to fraction form
    9,964.80/15,141.96 = 9,964.80/x
  3. Step 3: Cross multiply
    9,964.80x = 15,141.96 × 9,964.80
  4. Step 4: Simplify right side
    9,964.80x = 150,886,603.01
  5. Step 5: Solve for x
    x = 150,886,603.01/9,964.80
  6. Step 6: Final answer
    x = 15,141.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.