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Finding the Fourth Proportional to 10,228.68, 15,339.24 and 8,041.68

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Solution

The fourth proportional to 10,228.68, 15,339.24 and 8,041.68 is: 12,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.68 : 15,339.24 = 8,041.68 : x
  2. Step 2: Convert to fraction form
    10,228.68/15,339.24 = 8,041.68/x
  3. Step 3: Cross multiply
    10,228.68x = 15,339.24 × 8,041.68
  4. Step 4: Simplify right side
    10,228.68x = 123,353,219.31
  5. Step 5: Solve for x
    x = 123,353,219.31/10,228.68
  6. Step 6: Final answer
    x = 12,059.54

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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.