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Finding the Fourth Proportional to 7,863.60, 10,852.05 and 4,327.14

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Solution

The fourth proportional to 7,863.60, 10,852.05 and 4,327.14 is: 5,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.60 : 10,852.05 = 4,327.14 : x
  2. Step 2: Convert to fraction form
    7,863.60/10,852.05 = 4,327.14/x
  3. Step 3: Cross multiply
    7,863.60x = 10,852.05 × 4,327.14
  4. Step 4: Simplify right side
    7,863.60x = 46,958,339.64
  5. Step 5: Solve for x
    x = 46,958,339.64/7,863.60
  6. Step 6: Final answer
    x = 5,971.61

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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.