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Finding the Fourth Proportional to 9,997.68, 14,998.36 and 4,154.76

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Solution

The fourth proportional to 9,997.68, 14,998.36 and 4,154.76 is: 6,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.68 : 14,998.36 = 4,154.76 : x
  2. Step 2: Convert to fraction form
    9,997.68/14,998.36 = 4,154.76/x
  3. Step 3: Cross multiply
    9,997.68x = 14,998.36 × 4,154.76
  4. Step 4: Simplify right side
    9,997.68x = 62,314,586.19
  5. Step 5: Solve for x
    x = 62,314,586.19/9,997.68
  6. Step 6: Final answer
    x = 6,232.90

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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.