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Finding the Fourth Proportional to 6,570.82, 9,851.10 and 3,282.22

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Solution

The fourth proportional to 6,570.82, 9,851.10 and 3,282.22 is: 4,920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.82 : 9,851.10 = 3,282.22 : x
  2. Step 2: Convert to fraction form
    6,570.82/9,851.10 = 3,282.22/x
  3. Step 3: Cross multiply
    6,570.82x = 9,851.10 × 3,282.22
  4. Step 4: Simplify right side
    6,570.82x = 32,333,477.44
  5. Step 5: Solve for x
    x = 32,333,477.44/6,570.82
  6. Step 6: Final answer
    x = 4,920.77

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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.