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Finding the Fourth Proportional to 10,154.06, 15,226.99 and 6,868.09

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Solution

The fourth proportional to 10,154.06, 15,226.99 and 6,868.09 is: 10,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.06 : 15,226.99 = 6,868.09 : x
  2. Step 2: Convert to fraction form
    10,154.06/15,226.99 = 6,868.09/x
  3. Step 3: Cross multiply
    10,154.06x = 15,226.99 × 6,868.09
  4. Step 4: Simplify right side
    10,154.06x = 104,580,339.61
  5. Step 5: Solve for x
    x = 104,580,339.61/10,154.06
  6. Step 6: Final answer
    x = 10,299.36

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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.