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Finding the Fourth Proportional to 6,286.51, 9,382.00 and 6,032.22

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Solution

The fourth proportional to 6,286.51, 9,382.00 and 6,032.22 is: 9,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.51 : 9,382.00 = 6,032.22 : x
  2. Step 2: Convert to fraction form
    6,286.51/9,382.00 = 6,032.22/x
  3. Step 3: Cross multiply
    6,286.51x = 9,382.00 × 6,032.22
  4. Step 4: Simplify right side
    6,286.51x = 56,594,318.83
  5. Step 5: Solve for x
    x = 56,594,318.83/6,286.51
  6. Step 6: Final answer
    x = 9,002.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.