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Finding the Fourth Proportional to 7,871.14, 10,862.04 and 4,334.32

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Solution

The fourth proportional to 7,871.14, 10,862.04 and 4,334.32 is: 5,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.14 : 10,862.04 = 4,334.32 : x
  2. Step 2: Convert to fraction form
    7,871.14/10,862.04 = 4,334.32/x
  3. Step 3: Cross multiply
    7,871.14x = 10,862.04 × 4,334.32
  4. Step 4: Simplify right side
    7,871.14x = 47,079,557.21
  5. Step 5: Solve for x
    x = 47,079,557.21/7,871.14
  6. Step 6: Final answer
    x = 5,981.29

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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.