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Finding the Fourth Proportional to 10,085.58, 15,096.78 and 6,374.97

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Solution

The fourth proportional to 10,085.58, 15,096.78 and 6,374.97 is: 9,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.58 : 15,096.78 = 6,374.97 : x
  2. Step 2: Convert to fraction form
    10,085.58/15,096.78 = 6,374.97/x
  3. Step 3: Cross multiply
    10,085.58x = 15,096.78 × 6,374.97
  4. Step 4: Simplify right side
    10,085.58x = 96,241,519.60
  5. Step 5: Solve for x
    x = 96,241,519.60/10,085.58
  6. Step 6: Final answer
    x = 9,542.49

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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.