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Finding the Fourth Proportional to 7,016.49, 10,475.91 and 6,316.65

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Solution

The fourth proportional to 7,016.49, 10,475.91 and 6,316.65 is: 9,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.49 : 10,475.91 = 6,316.65 : x
  2. Step 2: Convert to fraction form
    7,016.49/10,475.91 = 6,316.65/x
  3. Step 3: Cross multiply
    7,016.49x = 10,475.91 × 6,316.65
  4. Step 4: Simplify right side
    7,016.49x = 66,172,656.90
  5. Step 5: Solve for x
    x = 66,172,656.90/7,016.49
  6. Step 6: Final answer
    x = 9,431.02

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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.