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Finding the Fourth Proportional to 10,112.48, 15,174.88 and 6,914.08

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Solution

The fourth proportional to 10,112.48, 15,174.88 and 6,914.08 is: 10,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.48 : 15,174.88 = 6,914.08 : x
  2. Step 2: Convert to fraction form
    10,112.48/15,174.88 = 6,914.08/x
  3. Step 3: Cross multiply
    10,112.48x = 15,174.88 × 6,914.08
  4. Step 4: Simplify right side
    10,112.48x = 104,920,334.31
  5. Step 5: Solve for x
    x = 104,920,334.31/10,112.48
  6. Step 6: Final answer
    x = 10,375.33

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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.