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Finding the Fourth Proportional to 7,145.66, 10,718.49 and 3,860.30

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Solution

The fourth proportional to 7,145.66, 10,718.49 and 3,860.30 is: 5,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.66 : 10,718.49 = 3,860.30 : x
  2. Step 2: Convert to fraction form
    7,145.66/10,718.49 = 3,860.30/x
  3. Step 3: Cross multiply
    7,145.66x = 10,718.49 × 3,860.30
  4. Step 4: Simplify right side
    7,145.66x = 41,376,586.95
  5. Step 5: Solve for x
    x = 41,376,586.95/7,145.66
  6. Step 6: Final answer
    x = 5,790.45

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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.