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Finding the Fourth Proportional to 10,224.69, 15,337 and 3,205.24

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Solution

The fourth proportional to 10,224.69, 15,337 and 3,205.24 is: 4,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.69 : 15,337 = 3,205.24 : x
  2. Step 2: Convert to fraction form
    10,224.69/15,337 = 3,205.24/x
  3. Step 3: Cross multiply
    10,224.69x = 15,337 × 3,205.24
  4. Step 4: Simplify right side
    10,224.69x = 49,158,689.20
  5. Step 5: Solve for x
    x = 49,158,689.20/10,224.69
  6. Step 6: Final answer
    x = 4,807.84

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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.