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Finding the Fourth Proportional to 7,145.84, 10,718.68 and 2,527.76

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Solution

The fourth proportional to 7,145.84, 10,718.68 and 2,527.76 is: 3,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.84 : 10,718.68 = 2,527.76 : x
  2. Step 2: Convert to fraction form
    7,145.84/10,718.68 = 2,527.76/x
  3. Step 3: Cross multiply
    7,145.84x = 10,718.68 × 2,527.76
  4. Step 4: Simplify right side
    7,145.84x = 27,094,250.56
  5. Step 5: Solve for x
    x = 27,094,250.56/7,145.84
  6. Step 6: Final answer
    x = 3,791.61

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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.