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Finding the Fourth Proportional to 6,532.95, 9,801.12 and 2,834.33

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Solution

The fourth proportional to 6,532.95, 9,801.12 and 2,834.33 is: 4,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.95 : 9,801.12 = 2,834.33 : x
  2. Step 2: Convert to fraction form
    6,532.95/9,801.12 = 2,834.33/x
  3. Step 3: Cross multiply
    6,532.95x = 9,801.12 × 2,834.33
  4. Step 4: Simplify right side
    6,532.95x = 27,779,559.44
  5. Step 5: Solve for x
    x = 27,779,559.44/6,532.95
  6. Step 6: Final answer
    x = 4,252.22

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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.