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Finding the Fourth Proportional to 7,863.84, 10,852.26 and 4,327.29

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Solution

The fourth proportional to 7,863.84, 10,852.26 and 4,327.29 is: 5,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.84 : 10,852.26 = 4,327.29 : x
  2. Step 2: Convert to fraction form
    7,863.84/10,852.26 = 4,327.29/x
  3. Step 3: Cross multiply
    7,863.84x = 10,852.26 × 4,327.29
  4. Step 4: Simplify right side
    7,863.84x = 46,960,876.18
  5. Step 5: Solve for x
    x = 46,960,876.18/7,863.84
  6. Step 6: Final answer
    x = 5,971.75

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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.