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Finding the Fourth Proportional to 5,995.71, 8,964 and 5,081.49

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Solution

The fourth proportional to 5,995.71, 8,964 and 5,081.49 is: 7,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.71 : 8,964 = 5,081.49 : x
  2. Step 2: Convert to fraction form
    5,995.71/8,964 = 5,081.49/x
  3. Step 3: Cross multiply
    5,995.71x = 8,964 × 5,081.49
  4. Step 4: Simplify right side
    5,995.71x = 45,550,476.36
  5. Step 5: Solve for x
    x = 45,550,476.36/5,995.71
  6. Step 6: Final answer
    x = 7,597.18

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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.