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Finding the Fourth Proportional to 4,703.56, 6,489.56 and 2,814.36

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Solution

The fourth proportional to 4,703.56, 6,489.56 and 2,814.36 is: 3,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.56 : 6,489.56 = 2,814.36 : x
  2. Step 2: Convert to fraction form
    4,703.56/6,489.56 = 2,814.36/x
  3. Step 3: Cross multiply
    4,703.56x = 6,489.56 × 2,814.36
  4. Step 4: Simplify right side
    4,703.56x = 18,263,958.08
  5. Step 5: Solve for x
    x = 18,263,958.08/4,703.56
  6. Step 6: Final answer
    x = 3,883.01

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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.