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Finding the Fourth Proportional to 6,536.49, 9,011.82 and 5,880.39

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Solution

The fourth proportional to 6,536.49, 9,011.82 and 5,880.39 is: 8,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.49 : 9,011.82 = 5,880.39 : x
  2. Step 2: Convert to fraction form
    6,536.49/9,011.82 = 5,880.39/x
  3. Step 3: Cross multiply
    6,536.49x = 9,011.82 × 5,880.39
  4. Step 4: Simplify right side
    6,536.49x = 52,993,016.21
  5. Step 5: Solve for x
    x = 52,993,016.21/6,536.49
  6. Step 6: Final answer
    x = 8,107.26

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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.