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Finding the Fourth Proportional to 4,347.40, 6,489.53 and 4,027

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Solution

The fourth proportional to 4,347.40, 6,489.53 and 4,027 is: 6,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.40 : 6,489.53 = 4,027 : x
  2. Step 2: Convert to fraction form
    4,347.40/6,489.53 = 4,027/x
  3. Step 3: Cross multiply
    4,347.40x = 6,489.53 × 4,027
  4. Step 4: Simplify right side
    4,347.40x = 26,133,337.31
  5. Step 5: Solve for x
    x = 26,133,337.31/4,347.40
  6. Step 6: Final answer
    x = 6,011.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.