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Finding the Fourth Proportional to 4,703.01, 6,489.72 and 2,814.23

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Solution

The fourth proportional to 4,703.01, 6,489.72 and 2,814.23 is: 3,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.01 : 6,489.72 = 2,814.23 : x
  2. Step 2: Convert to fraction form
    4,703.01/6,489.72 = 2,814.23/x
  3. Step 3: Cross multiply
    4,703.01x = 6,489.72 × 2,814.23
  4. Step 4: Simplify right side
    4,703.01x = 18,263,564.72
  5. Step 5: Solve for x
    x = 18,263,564.72/4,703.01
  6. Step 6: Final answer
    x = 3,883.38

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Half scale
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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.