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Finding the Fourth Proportional to 6,551.65, 9,830.67 and 3,265.23

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Solution

The fourth proportional to 6,551.65, 9,830.67 and 3,265.23 is: 4,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.65 : 9,830.67 = 3,265.23 : x
  2. Step 2: Convert to fraction form
    6,551.65/9,830.67 = 3,265.23/x
  3. Step 3: Cross multiply
    6,551.65x = 9,830.67 × 3,265.23
  4. Step 4: Simplify right side
    6,551.65x = 32,099,398.60
  5. Step 5: Solve for x
    x = 32,099,398.60/6,551.65
  6. Step 6: Final answer
    x = 4,899.44

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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.