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Finding the Fourth Proportional to 10,112.50, 15,168.75 and 2,816.50

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Solution

The fourth proportional to 10,112.50, 15,168.75 and 2,816.50 is: 4,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.50 : 15,168.75 = 2,816.50 : x
  2. Step 2: Convert to fraction form
    10,112.50/15,168.75 = 2,816.50/x
  3. Step 3: Cross multiply
    10,112.50x = 15,168.75 × 2,816.50
  4. Step 4: Simplify right side
    10,112.50x = 42,722,784.38
  5. Step 5: Solve for x
    x = 42,722,784.38/10,112.50
  6. Step 6: Final answer
    x = 4,224.75

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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.