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Finding the Fourth Proportional to 6,007.69, 9,011.54 and 2,309.23

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Solution

The fourth proportional to 6,007.69, 9,011.54 and 2,309.23 is: 3,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.69 : 9,011.54 = 2,309.23 : x
  2. Step 2: Convert to fraction form
    6,007.69/9,011.54 = 2,309.23/x
  3. Step 3: Cross multiply
    6,007.69x = 9,011.54 × 2,309.23
  4. Step 4: Simplify right side
    6,007.69x = 20,809,706.97
  5. Step 5: Solve for x
    x = 20,809,706.97/6,007.69
  6. Step 6: Final answer
    x = 3,463.85

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Half scale
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Double scale
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Similar ratio
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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.