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Finding the Fourth Proportional to 9,647.54, 14,483.14 and 6,363.38

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Solution

The fourth proportional to 9,647.54, 14,483.14 and 6,363.38 is: 9,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.54 : 14,483.14 = 6,363.38 : x
  2. Step 2: Convert to fraction form
    9,647.54/14,483.14 = 6,363.38/x
  3. Step 3: Cross multiply
    9,647.54x = 14,483.14 × 6,363.38
  4. Step 4: Simplify right side
    9,647.54x = 92,161,723.41
  5. Step 5: Solve for x
    x = 92,161,723.41/9,647.54
  6. Step 6: Final answer
    x = 9,552.87

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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.