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Finding the Fourth Proportional to 7,802.96, 10,767.25 and 4,616.38

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Solution

The fourth proportional to 7,802.96, 10,767.25 and 4,616.38 is: 6,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.96 : 10,767.25 = 4,616.38 : x
  2. Step 2: Convert to fraction form
    7,802.96/10,767.25 = 4,616.38/x
  3. Step 3: Cross multiply
    7,802.96x = 10,767.25 × 4,616.38
  4. Step 4: Simplify right side
    7,802.96x = 49,705,717.56
  5. Step 5: Solve for x
    x = 49,705,717.56/7,802.96
  6. Step 6: Final answer
    x = 6,370.11

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1.5x scale

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.