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Finding the Fourth Proportional to 6,859.71, 9,466.34 and 4,027.14

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Solution

The fourth proportional to 6,859.71, 9,466.34 and 4,027.14 is: 5,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.71 : 9,466.34 = 4,027.14 : x
  2. Step 2: Convert to fraction form
    6,859.71/9,466.34 = 4,027.14/x
  3. Step 3: Cross multiply
    6,859.71x = 9,466.34 × 4,027.14
  4. Step 4: Simplify right side
    6,859.71x = 38,122,256.33
  5. Step 5: Solve for x
    x = 38,122,256.33/6,859.71
  6. Step 6: Final answer
    x = 5,557.42

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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.