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Finding the Fourth Proportional to 11,471.67, 15,825.08 and 7,495.11

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Solution

The fourth proportional to 11,471.67, 15,825.08 and 7,495.11 is: 10,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.67 : 15,825.08 = 7,495.11 : x
  2. Step 2: Convert to fraction form
    11,471.67/15,825.08 = 7,495.11/x
  3. Step 3: Cross multiply
    11,471.67x = 15,825.08 × 7,495.11
  4. Step 4: Simplify right side
    11,471.67x = 118,610,677.88
  5. Step 5: Solve for x
    x = 118,610,677.88/11,471.67
  6. Step 6: Final answer
    x = 10,339.44

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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.