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Finding the Fourth Proportional to 6,469, 9,703.62 and 2,365

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Solution

The fourth proportional to 6,469, 9,703.62 and 2,365 is: 3,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469 : 9,703.62 = 2,365 : x
  2. Step 2: Convert to fraction form
    6,469/9,703.62 = 2,365/x
  3. Step 3: Cross multiply
    6,469x = 9,703.62 × 2,365
  4. Step 4: Simplify right side
    6,469x = 22,949,061.30
  5. Step 5: Solve for x
    x = 22,949,061.30/6,469
  6. Step 6: Final answer
    x = 3,547.54

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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.