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Finding the Fourth Proportional to 6,196.58, 9,294.95 and 1,814.13

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Solution

The fourth proportional to 6,196.58, 9,294.95 and 1,814.13 is: 2,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.58 : 9,294.95 = 1,814.13 : x
  2. Step 2: Convert to fraction form
    6,196.58/9,294.95 = 1,814.13/x
  3. Step 3: Cross multiply
    6,196.58x = 9,294.95 × 1,814.13
  4. Step 4: Simplify right side
    6,196.58x = 16,862,238.57
  5. Step 5: Solve for x
    x = 16,862,238.57/6,196.58
  6. Step 6: Final answer
    x = 2,721.22

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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.