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Finding the Fourth Proportional to 4,462.40, 6,703.20 and 4,299.20

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Solution

The fourth proportional to 4,462.40, 6,703.20 and 4,299.20 is: 6,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.40 : 6,703.20 = 4,299.20 : x
  2. Step 2: Convert to fraction form
    4,462.40/6,703.20 = 4,299.20/x
  3. Step 3: Cross multiply
    4,462.40x = 6,703.20 × 4,299.20
  4. Step 4: Simplify right side
    4,462.40x = 28,818,397.44
  5. Step 5: Solve for x
    x = 28,818,397.44/4,462.40
  6. Step 6: Final answer
    x = 6,458.05

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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.