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Finding the Fourth Proportional to 9,383.84, 14,073.84 and 5,485.28

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Solution

The fourth proportional to 9,383.84, 14,073.84 and 5,485.28 is: 8,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.84 : 14,073.84 = 5,485.28 : x
  2. Step 2: Convert to fraction form
    9,383.84/14,073.84 = 5,485.28/x
  3. Step 3: Cross multiply
    9,383.84x = 14,073.84 × 5,485.28
  4. Step 4: Simplify right side
    9,383.84x = 77,198,953.08
  5. Step 5: Solve for x
    x = 77,198,953.08/9,383.84
  6. Step 6: Final answer
    x = 8,226.80

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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.