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Finding the Fourth Proportional to 6,808.82, 9,399.76 and 4,582.40

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Solution

The fourth proportional to 6,808.82, 9,399.76 and 4,582.40 is: 6,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.82 : 9,399.76 = 4,582.40 : x
  2. Step 2: Convert to fraction form
    6,808.82/9,399.76 = 4,582.40/x
  3. Step 3: Cross multiply
    6,808.82x = 9,399.76 × 4,582.40
  4. Step 4: Simplify right side
    6,808.82x = 43,073,460.22
  5. Step 5: Solve for x
    x = 43,073,460.22/6,808.82
  6. Step 6: Final answer
    x = 6,326.13

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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.