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Finding the Fourth Proportional to 7,122.76, 10,677.42 and 2,503.24

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Solution

The fourth proportional to 7,122.76, 10,677.42 and 2,503.24 is: 3,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.76 : 10,677.42 = 2,503.24 : x
  2. Step 2: Convert to fraction form
    7,122.76/10,677.42 = 2,503.24/x
  3. Step 3: Cross multiply
    7,122.76x = 10,677.42 × 2,503.24
  4. Step 4: Simplify right side
    7,122.76x = 26,728,144.84
  5. Step 5: Solve for x
    x = 26,728,144.84/7,122.76
  6. Step 6: Final answer
    x = 3,752.50

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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.