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Finding the Fourth Proportional to 4,462.68, 6,695.20 and 1,541.20

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Solution

The fourth proportional to 4,462.68, 6,695.20 and 1,541.20 is: 2,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.68 : 6,695.20 = 1,541.20 : x
  2. Step 2: Convert to fraction form
    4,462.68/6,695.20 = 1,541.20/x
  3. Step 3: Cross multiply
    4,462.68x = 6,695.20 × 1,541.20
  4. Step 4: Simplify right side
    4,462.68x = 10,318,642.24
  5. Step 5: Solve for x
    x = 10,318,642.24/4,462.68
  6. Step 6: Final answer
    x = 2,312.21

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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.