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Finding the Fourth Proportional to 10,423.04, 15,623.22 and 3,843.68

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Solution

The fourth proportional to 10,423.04, 15,623.22 and 3,843.68 is: 5,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.04 : 15,623.22 = 3,843.68 : x
  2. Step 2: Convert to fraction form
    10,423.04/15,623.22 = 3,843.68/x
  3. Step 3: Cross multiply
    10,423.04x = 15,623.22 × 3,843.68
  4. Step 4: Simplify right side
    10,423.04x = 60,050,658.25
  5. Step 5: Solve for x
    x = 60,050,658.25/10,423.04
  6. Step 6: Final answer
    x = 5,761.34

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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.