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Finding the Fourth Proportional to 15,147.88, 22,726.68 and 6,824.32

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Solution

The fourth proportional to 15,147.88, 22,726.68 and 6,824.32 is: 10,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.88 : 22,726.68 = 6,824.32 : x
  2. Step 2: Convert to fraction form
    15,147.88/22,726.68 = 6,824.32/x
  3. Step 3: Cross multiply
    15,147.88x = 22,726.68 × 6,824.32
  4. Step 4: Simplify right side
    15,147.88x = 155,094,136.86
  5. Step 5: Solve for x
    x = 155,094,136.86/15,147.88
  6. Step 6: Final answer
    x = 10,238.67

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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.