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Finding the Fourth Proportional to 9,807.77, 13,535.03 and 6,033.17

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Solution

The fourth proportional to 9,807.77, 13,535.03 and 6,033.17 is: 8,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.77 : 13,535.03 = 6,033.17 : x
  2. Step 2: Convert to fraction form
    9,807.77/13,535.03 = 6,033.17/x
  3. Step 3: Cross multiply
    9,807.77x = 13,535.03 × 6,033.17
  4. Step 4: Simplify right side
    9,807.77x = 81,659,185.87
  5. Step 5: Solve for x
    x = 81,659,185.87/9,807.77
  6. Step 6: Final answer
    x = 8,325.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.