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Finding the Fourth Proportional to 6,997.76, 10,500.28 and 3,101.26

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Solution

The fourth proportional to 6,997.76, 10,500.28 and 3,101.26 is: 4,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.76 : 10,500.28 = 3,101.26 : x
  2. Step 2: Convert to fraction form
    6,997.76/10,500.28 = 3,101.26/x
  3. Step 3: Cross multiply
    6,997.76x = 10,500.28 × 3,101.26
  4. Step 4: Simplify right side
    6,997.76x = 32,564,098.35
  5. Step 5: Solve for x
    x = 32,564,098.35/6,997.76
  6. Step 6: Final answer
    x = 4,653.50

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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.