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Finding the Fourth Proportional to 9,832.80, 14,727.60 and 6,895.20

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Solution

The fourth proportional to 9,832.80, 14,727.60 and 6,895.20 is: 10,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.80 : 14,727.60 = 6,895.20 : x
  2. Step 2: Convert to fraction form
    9,832.80/14,727.60 = 6,895.20/x
  3. Step 3: Cross multiply
    9,832.80x = 14,727.60 × 6,895.20
  4. Step 4: Simplify right side
    9,832.80x = 101,549,747.52
  5. Step 5: Solve for x
    x = 101,549,747.52/9,832.80
  6. Step 6: Final answer
    x = 10,327.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.