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Finding the Fourth Proportional to 11,471.68, 17,175.08 and 7,301.36

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Solution

The fourth proportional to 11,471.68, 17,175.08 and 7,301.36 is: 10,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.68 : 17,175.08 = 7,301.36 : x
  2. Step 2: Convert to fraction form
    11,471.68/17,175.08 = 7,301.36/x
  3. Step 3: Cross multiply
    11,471.68x = 17,175.08 × 7,301.36
  4. Step 4: Simplify right side
    11,471.68x = 125,401,442.11
  5. Step 5: Solve for x
    x = 125,401,442.11/11,471.68
  6. Step 6: Final answer
    x = 10,931.39

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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.