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Finding the Fourth Proportional to 7,698.29, 11,547.86 and 2,433.47

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Solution

The fourth proportional to 7,698.29, 11,547.86 and 2,433.47 is: 3,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.29 : 11,547.86 = 2,433.47 : x
  2. Step 2: Convert to fraction form
    7,698.29/11,547.86 = 2,433.47/x
  3. Step 3: Cross multiply
    7,698.29x = 11,547.86 × 2,433.47
  4. Step 4: Simplify right side
    7,698.29x = 28,101,300.97
  5. Step 5: Solve for x
    x = 28,101,300.97/7,698.29
  6. Step 6: Final answer
    x = 3,650.33

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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.