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Finding the Fourth Proportional to 7,871.10, 10,862.14 and 4,334.52

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Solution

The fourth proportional to 7,871.10, 10,862.14 and 4,334.52 is: 5,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.10 : 10,862.14 = 4,334.52 : x
  2. Step 2: Convert to fraction form
    7,871.10/10,862.14 = 4,334.52/x
  3. Step 3: Cross multiply
    7,871.10x = 10,862.14 × 4,334.52
  4. Step 4: Simplify right side
    7,871.10x = 47,082,163.07
  5. Step 5: Solve for x
    x = 47,082,163.07/7,871.10
  6. Step 6: Final answer
    x = 5,981.65

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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.