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Finding the Fourth Proportional to 7,909.57, 10,914.86 and 4,324.47

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Solution

The fourth proportional to 7,909.57, 10,914.86 and 4,324.47 is: 5,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.57 : 10,914.86 = 4,324.47 : x
  2. Step 2: Convert to fraction form
    7,909.57/10,914.86 = 4,324.47/x
  3. Step 3: Cross multiply
    7,909.57x = 10,914.86 × 4,324.47
  4. Step 4: Simplify right side
    7,909.57x = 47,200,954.50
  5. Step 5: Solve for x
    x = 47,200,954.50/7,909.57
  6. Step 6: Final answer
    x = 5,967.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.