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Finding the Fourth Proportional to 7,863.64, 10,852.02 and 4,327

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Solution

The fourth proportional to 7,863.64, 10,852.02 and 4,327 is: 5,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.64 : 10,852.02 = 4,327 : x
  2. Step 2: Convert to fraction form
    7,863.64/10,852.02 = 4,327/x
  3. Step 3: Cross multiply
    7,863.64x = 10,852.02 × 4,327
  4. Step 4: Simplify right side
    7,863.64x = 46,956,690.54
  5. Step 5: Solve for x
    x = 46,956,690.54/7,863.64
  6. Step 6: Final answer
    x = 5,971.37

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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.