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Finding the Fourth Proportional to 6,542.84, 9,814.94 and 2,098.95

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Solution

The fourth proportional to 6,542.84, 9,814.94 and 2,098.95 is: 3,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.84 : 9,814.94 = 2,098.95 : x
  2. Step 2: Convert to fraction form
    6,542.84/9,814.94 = 2,098.95/x
  3. Step 3: Cross multiply
    6,542.84x = 9,814.94 × 2,098.95
  4. Step 4: Simplify right side
    6,542.84x = 20,601,068.31
  5. Step 5: Solve for x
    x = 20,601,068.31/6,542.84
  6. Step 6: Final answer
    x = 3,148.64

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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.