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Finding the Fourth Proportional to 7,871.42, 10,862.34 and 4,516.22

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Solution

The fourth proportional to 7,871.42, 10,862.34 and 4,516.22 is: 6,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.42 : 10,862.34 = 4,516.22 : x
  2. Step 2: Convert to fraction form
    7,871.42/10,862.34 = 4,516.22/x
  3. Step 3: Cross multiply
    7,871.42x = 10,862.34 × 4,516.22
  4. Step 4: Simplify right side
    7,871.42x = 49,056,717.15
  5. Step 5: Solve for x
    x = 49,056,717.15/7,871.42
  6. Step 6: Final answer
    x = 6,232.26

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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.