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Finding the Fourth Proportional to 11,572.46, 15,966.48 and 7,094.58

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Solution

The fourth proportional to 11,572.46, 15,966.48 and 7,094.58 is: 9,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.46 : 15,966.48 = 7,094.58 : x
  2. Step 2: Convert to fraction form
    11,572.46/15,966.48 = 7,094.58/x
  3. Step 3: Cross multiply
    11,572.46x = 15,966.48 × 7,094.58
  4. Step 4: Simplify right side
    11,572.46x = 113,275,469.68
  5. Step 5: Solve for x
    x = 113,275,469.68/11,572.46
  6. Step 6: Final answer
    x = 9,788.37

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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.