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Finding the Fourth Proportional to 9,958.41, 13,743.10 and 5,482.11

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Solution

The fourth proportional to 9,958.41, 13,743.10 and 5,482.11 is: 7,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.41 : 13,743.10 = 5,482.11 : x
  2. Step 2: Convert to fraction form
    9,958.41/13,743.10 = 5,482.11/x
  3. Step 3: Cross multiply
    9,958.41x = 13,743.10 × 5,482.11
  4. Step 4: Simplify right side
    9,958.41x = 75,341,244.33
  5. Step 5: Solve for x
    x = 75,341,244.33/9,958.41
  6. Step 6: Final answer
    x = 7,565.59

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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.