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Finding the Fourth Proportional to 7,170.49, 10,717.30 and 6,466.10

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Solution

The fourth proportional to 7,170.49, 10,717.30 and 6,466.10 is: 9,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.49 : 10,717.30 = 6,466.10 : x
  2. Step 2: Convert to fraction form
    7,170.49/10,717.30 = 6,466.10/x
  3. Step 3: Cross multiply
    7,170.49x = 10,717.30 × 6,466.10
  4. Step 4: Simplify right side
    7,170.49x = 69,299,051.65
  5. Step 5: Solve for x
    x = 69,299,051.65/7,170.49
  6. Step 6: Final answer
    x = 9,664.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.