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Finding the Fourth Proportional to 7,284.69, 10,935.72 and 6,987.62

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Solution

The fourth proportional to 7,284.69, 10,935.72 and 6,987.62 is: 10,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.69 : 10,935.72 = 6,987.62 : x
  2. Step 2: Convert to fraction form
    7,284.69/10,935.72 = 6,987.62/x
  3. Step 3: Cross multiply
    7,284.69x = 10,935.72 × 6,987.62
  4. Step 4: Simplify right side
    7,284.69x = 76,414,683.13
  5. Step 5: Solve for x
    x = 76,414,683.13/7,284.69
  6. Step 6: Final answer
    x = 10,489.76

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1.5x scale

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.