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Finding the Fourth Proportional to 6,871.56, 9,482.77 and 3,727.77

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Solution

The fourth proportional to 6,871.56, 9,482.77 and 3,727.77 is: 5,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.56 : 9,482.77 = 3,727.77 : x
  2. Step 2: Convert to fraction form
    6,871.56/9,482.77 = 3,727.77/x
  3. Step 3: Cross multiply
    6,871.56x = 9,482.77 × 3,727.77
  4. Step 4: Simplify right side
    6,871.56x = 35,349,585.52
  5. Step 5: Solve for x
    x = 35,349,585.52/6,871.56
  6. Step 6: Final answer
    x = 5,144.33

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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.