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Finding the Fourth Proportional to 6,852.60, 10,278.60 and 4,073.14

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Solution

The fourth proportional to 6,852.60, 10,278.60 and 4,073.14 is: 6,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.60 : 10,278.60 = 4,073.14 : x
  2. Step 2: Convert to fraction form
    6,852.60/10,278.60 = 4,073.14/x
  3. Step 3: Cross multiply
    6,852.60x = 10,278.60 × 4,073.14
  4. Step 4: Simplify right side
    6,852.60x = 41,866,237.65
  5. Step 5: Solve for x
    x = 41,866,237.65/6,852.60
  6. Step 6: Final answer
    x = 6,109.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.