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Finding the Fourth Proportional to 7,494.17, 10,343.21 and 7,162.00

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Solution

The fourth proportional to 7,494.17, 10,343.21 and 7,162.00 is: 9,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.17 : 10,343.21 = 7,162.00 : x
  2. Step 2: Convert to fraction form
    7,494.17/10,343.21 = 7,162.00/x
  3. Step 3: Cross multiply
    7,494.17x = 10,343.21 × 7,162.00
  4. Step 4: Simplify right side
    7,494.17x = 74,078,008.35
  5. Step 5: Solve for x
    x = 74,078,008.35/7,494.17
  6. Step 6: Final answer
    x = 9,884.76

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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.