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Finding the Fourth Proportional to 7,494.15, 10,343.19 and 7,162.01

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Solution

The fourth proportional to 7,494.15, 10,343.19 and 7,162.01 is: 9,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.15 : 10,343.19 = 7,162.01 : x
  2. Step 2: Convert to fraction form
    7,494.15/10,343.19 = 7,162.01/x
  3. Step 3: Cross multiply
    7,494.15x = 10,343.19 × 7,162.01
  4. Step 4: Simplify right side
    7,494.15x = 74,078,044.14
  5. Step 5: Solve for x
    x = 74,078,044.14/7,494.15
  6. Step 6: Final answer
    x = 9,884.78

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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.