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Finding the Fourth Proportional to 6,522.41, 9,784.24 and 2,363.47

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Solution

The fourth proportional to 6,522.41, 9,784.24 and 2,363.47 is: 3,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.41 : 9,784.24 = 2,363.47 : x
  2. Step 2: Convert to fraction form
    6,522.41/9,784.24 = 2,363.47/x
  3. Step 3: Cross multiply
    6,522.41x = 9,784.24 × 2,363.47
  4. Step 4: Simplify right side
    6,522.41x = 23,124,727.34
  5. Step 5: Solve for x
    x = 23,124,727.34/6,522.41
  6. Step 6: Final answer
    x = 3,545.43

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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.