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Finding the Fourth Proportional to 7,105.69, 10,657.09 and 2,423.16

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Solution

The fourth proportional to 7,105.69, 10,657.09 and 2,423.16 is: 3,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.69 : 10,657.09 = 2,423.16 : x
  2. Step 2: Convert to fraction form
    7,105.69/10,657.09 = 2,423.16/x
  3. Step 3: Cross multiply
    7,105.69x = 10,657.09 × 2,423.16
  4. Step 4: Simplify right side
    7,105.69x = 25,823,834.20
  5. Step 5: Solve for x
    x = 25,823,834.20/7,105.69
  6. Step 6: Final answer
    x = 3,634.25

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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.