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Finding the Fourth Proportional to 7,822, 10,795.49 and 4,837.65

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Solution

The fourth proportional to 7,822, 10,795.49 and 4,837.65 is: 6,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822 : 10,795.49 = 4,837.65 : x
  2. Step 2: Convert to fraction form
    7,822/10,795.49 = 4,837.65/x
  3. Step 3: Cross multiply
    7,822x = 10,795.49 × 4,837.65
  4. Step 4: Simplify right side
    7,822x = 52,224,802.20
  5. Step 5: Solve for x
    x = 52,224,802.20/7,822
  6. Step 6: Final answer
    x = 6,676.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.