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Finding the Fourth Proportional to 10,591.39, 14,615.63 and 5,811.23

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Solution

The fourth proportional to 10,591.39, 14,615.63 and 5,811.23 is: 8,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.39 : 14,615.63 = 5,811.23 : x
  2. Step 2: Convert to fraction form
    10,591.39/14,615.63 = 5,811.23/x
  3. Step 3: Cross multiply
    10,591.39x = 14,615.63 × 5,811.23
  4. Step 4: Simplify right side
    10,591.39x = 84,934,685.39
  5. Step 5: Solve for x
    x = 84,934,685.39/10,591.39
  6. Step 6: Final answer
    x = 8,019.22

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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.