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Finding the Fourth Proportional to 20,800.50, 31,200.75 and 6,949.50

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Solution

The fourth proportional to 20,800.50, 31,200.75 and 6,949.50 is: 10,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.50 : 31,200.75 = 6,949.50 : x
  2. Step 2: Convert to fraction form
    20,800.50/31,200.75 = 6,949.50/x
  3. Step 3: Cross multiply
    20,800.50x = 31,200.75 × 6,949.50
  4. Step 4: Simplify right side
    20,800.50x = 216,829,612.13
  5. Step 5: Solve for x
    x = 216,829,612.13/20,800.50
  6. Step 6: Final answer
    x = 10,424.25

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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.