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Finding the Fourth Proportional to 10,494.06, 15,741.07 and 7,197.16

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Solution

The fourth proportional to 10,494.06, 15,741.07 and 7,197.16 is: 10,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.06 : 15,741.07 = 7,197.16 : x
  2. Step 2: Convert to fraction form
    10,494.06/15,741.07 = 7,197.16/x
  3. Step 3: Cross multiply
    10,494.06x = 15,741.07 × 7,197.16
  4. Step 4: Simplify right side
    10,494.06x = 113,290,932.74
  5. Step 5: Solve for x
    x = 113,290,932.74/10,494.06
  6. Step 6: Final answer
    x = 10,795.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.