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Finding the Fourth Proportional to 6,386.13, 9,583.52 and 2,282.13

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Solution

The fourth proportional to 6,386.13, 9,583.52 and 2,282.13 is: 3,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.13 : 9,583.52 = 2,282.13 : x
  2. Step 2: Convert to fraction form
    6,386.13/9,583.52 = 2,282.13/x
  3. Step 3: Cross multiply
    6,386.13x = 9,583.52 × 2,282.13
  4. Step 4: Simplify right side
    6,386.13x = 21,870,838.50
  5. Step 5: Solve for x
    x = 21,870,838.50/6,386.13
  6. Step 6: Final answer
    x = 3,424.74

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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.