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Finding the Fourth Proportional to 7,275, 10,039.08 and 4,290.66

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Solution

The fourth proportional to 7,275, 10,039.08 and 4,290.66 is: 5,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275 : 10,039.08 = 4,290.66 : x
  2. Step 2: Convert to fraction form
    7,275/10,039.08 = 4,290.66/x
  3. Step 3: Cross multiply
    7,275x = 10,039.08 × 4,290.66
  4. Step 4: Simplify right side
    7,275x = 43,074,278.99
  5. Step 5: Solve for x
    x = 43,074,278.99/7,275
  6. Step 6: Final answer
    x = 5,920.86

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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.