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Finding the Fourth Proportional to 7,314.65, 10,093.49 and 4,127.66

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Solution

The fourth proportional to 7,314.65, 10,093.49 and 4,127.66 is: 5,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.65 : 10,093.49 = 4,127.66 : x
  2. Step 2: Convert to fraction form
    7,314.65/10,093.49 = 4,127.66/x
  3. Step 3: Cross multiply
    7,314.65x = 10,093.49 × 4,127.66
  4. Step 4: Simplify right side
    7,314.65x = 41,662,499.53
  5. Step 5: Solve for x
    x = 41,662,499.53/7,314.65
  6. Step 6: Final answer
    x = 5,695.76

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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.