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Finding the Fourth Proportional to 6,707.65, 10,061.16 and 3,195.10

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Solution

The fourth proportional to 6,707.65, 10,061.16 and 3,195.10 is: 4,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.65 : 10,061.16 = 3,195.10 : x
  2. Step 2: Convert to fraction form
    6,707.65/10,061.16 = 3,195.10/x
  3. Step 3: Cross multiply
    6,707.65x = 10,061.16 × 3,195.10
  4. Step 4: Simplify right side
    6,707.65x = 32,146,412.32
  5. Step 5: Solve for x
    x = 32,146,412.32/6,707.65
  6. Step 6: Final answer
    x = 4,792.50

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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.