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Finding the Fourth Proportional to 7,033.24, 10,547.22 and 2,648.32

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Solution

The fourth proportional to 7,033.24, 10,547.22 and 2,648.32 is: 3,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.24 : 10,547.22 = 2,648.32 : x
  2. Step 2: Convert to fraction form
    7,033.24/10,547.22 = 2,648.32/x
  3. Step 3: Cross multiply
    7,033.24x = 10,547.22 × 2,648.32
  4. Step 4: Simplify right side
    7,033.24x = 27,932,413.67
  5. Step 5: Solve for x
    x = 27,932,413.67/7,033.24
  6. Step 6: Final answer
    x = 3,971.49

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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.