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Finding the Fourth Proportional to 9,605.78, 14,380.65 and 5,896.77

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Solution

The fourth proportional to 9,605.78, 14,380.65 and 5,896.77 is: 8,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.78 : 14,380.65 = 5,896.77 : x
  2. Step 2: Convert to fraction form
    9,605.78/14,380.65 = 5,896.77/x
  3. Step 3: Cross multiply
    9,605.78x = 14,380.65 × 5,896.77
  4. Step 4: Simplify right side
    9,605.78x = 84,799,313.60
  5. Step 5: Solve for x
    x = 84,799,313.60/9,605.78
  6. Step 6: Final answer
    x = 8,827.95

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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.