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Finding the Fourth Proportional to 6,193.43, 9,282.05 and 5,368.31

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Solution

The fourth proportional to 6,193.43, 9,282.05 and 5,368.31 is: 8,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.43 : 9,282.05 = 5,368.31 : x
  2. Step 2: Convert to fraction form
    6,193.43/9,282.05 = 5,368.31/x
  3. Step 3: Cross multiply
    6,193.43x = 9,282.05 × 5,368.31
  4. Step 4: Simplify right side
    6,193.43x = 49,828,894.99
  5. Step 5: Solve for x
    x = 49,828,894.99/6,193.43
  6. Step 6: Final answer
    x = 8,045.44

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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.