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Finding the Fourth Proportional to 6,837.65, 10,275.71 and 4,064.82

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Solution

The fourth proportional to 6,837.65, 10,275.71 and 4,064.82 is: 6,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.65 : 10,275.71 = 4,064.82 : x
  2. Step 2: Convert to fraction form
    6,837.65/10,275.71 = 4,064.82/x
  3. Step 3: Cross multiply
    6,837.65x = 10,275.71 × 4,064.82
  4. Step 4: Simplify right side
    6,837.65x = 41,768,875.53
  5. Step 5: Solve for x
    x = 41,768,875.53/6,837.65
  6. Step 6: Final answer
    x = 6,108.66

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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.