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Finding the Fourth Proportional to 7,863.56, 10,851.76 and 4,327.08

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Solution

The fourth proportional to 7,863.56, 10,851.76 and 4,327.08 is: 5,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.56 : 10,851.76 = 4,327.08 : x
  2. Step 2: Convert to fraction form
    7,863.56/10,851.76 = 4,327.08/x
  3. Step 3: Cross multiply
    7,863.56x = 10,851.76 × 4,327.08
  4. Step 4: Simplify right side
    7,863.56x = 46,956,433.66
  5. Step 5: Solve for x
    x = 46,956,433.66/7,863.56
  6. Step 6: Final answer
    x = 5,971.40

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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.