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Finding the Fourth Proportional to 6,542.35, 9,813.53 and 1,862.84

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Solution

The fourth proportional to 6,542.35, 9,813.53 and 1,862.84 is: 2,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.35 : 9,813.53 = 1,862.84 : x
  2. Step 2: Convert to fraction form
    6,542.35/9,813.53 = 1,862.84/x
  3. Step 3: Cross multiply
    6,542.35x = 9,813.53 × 1,862.84
  4. Step 4: Simplify right side
    6,542.35x = 18,281,051.44
  5. Step 5: Solve for x
    x = 18,281,051.44/6,542.35
  6. Step 6: Final answer
    x = 2,794.26

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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.