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Finding the Fourth Proportional to 11,575.42, 15,974.38 and 7,036.54

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Solution

The fourth proportional to 11,575.42, 15,974.38 and 7,036.54 is: 9,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.42 : 15,974.38 = 7,036.54 : x
  2. Step 2: Convert to fraction form
    11,575.42/15,974.38 = 7,036.54/x
  3. Step 3: Cross multiply
    11,575.42x = 15,974.38 × 7,036.54
  4. Step 4: Simplify right side
    11,575.42x = 112,404,363.85
  5. Step 5: Solve for x
    x = 112,404,363.85/11,575.42
  6. Step 6: Final answer
    x = 9,710.61

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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.