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Finding the Fourth Proportional to 6,521.69, 9,784.51 and 2,363.66

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Solution

The fourth proportional to 6,521.69, 9,784.51 and 2,363.66 is: 3,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.69 : 9,784.51 = 2,363.66 : x
  2. Step 2: Convert to fraction form
    6,521.69/9,784.51 = 2,363.66/x
  3. Step 3: Cross multiply
    6,521.69x = 9,784.51 × 2,363.66
  4. Step 4: Simplify right side
    6,521.69x = 23,127,200.07
  5. Step 5: Solve for x
    x = 23,127,200.07/6,521.69
  6. Step 6: Final answer
    x = 3,546.20

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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.