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Finding the Fourth Proportional to 7,878.25, 10,871.84 and 4,293.24

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Solution

The fourth proportional to 7,878.25, 10,871.84 and 4,293.24 is: 5,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.25 : 10,871.84 = 4,293.24 : x
  2. Step 2: Convert to fraction form
    7,878.25/10,871.84 = 4,293.24/x
  3. Step 3: Cross multiply
    7,878.25x = 10,871.84 × 4,293.24
  4. Step 4: Simplify right side
    7,878.25x = 46,675,401.92
  5. Step 5: Solve for x
    x = 46,675,401.92/7,878.25
  6. Step 6: Final answer
    x = 5,924.59

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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.