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Finding the Fourth Proportional to 6,976.11, 9,605.97 and 6,030.21

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Solution

The fourth proportional to 6,976.11, 9,605.97 and 6,030.21 is: 8,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.11 : 9,605.97 = 6,030.21 : x
  2. Step 2: Convert to fraction form
    6,976.11/9,605.97 = 6,030.21/x
  3. Step 3: Cross multiply
    6,976.11x = 9,605.97 × 6,030.21
  4. Step 4: Simplify right side
    6,976.11x = 57,926,016.35
  5. Step 5: Solve for x
    x = 57,926,016.35/6,976.11
  6. Step 6: Final answer
    x = 8,303.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.