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Finding the Fourth Proportional to 4,703.92, 6,490.14 and 2,814.64

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Solution

The fourth proportional to 4,703.92, 6,490.14 and 2,814.64 is: 3,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.92 : 6,490.14 = 2,814.64 : x
  2. Step 2: Convert to fraction form
    4,703.92/6,490.14 = 2,814.64/x
  3. Step 3: Cross multiply
    4,703.92x = 6,490.14 × 2,814.64
  4. Step 4: Simplify right side
    4,703.92x = 18,267,407.65
  5. Step 5: Solve for x
    x = 18,267,407.65/4,703.92
  6. Step 6: Final answer
    x = 3,883.44

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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.