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Finding the Fourth Proportional to 6,077.69, 9,119.27 and 3,480.63

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Solution

The fourth proportional to 6,077.69, 9,119.27 and 3,480.63 is: 5,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.69 : 9,119.27 = 3,480.63 : x
  2. Step 2: Convert to fraction form
    6,077.69/9,119.27 = 3,480.63/x
  3. Step 3: Cross multiply
    6,077.69x = 9,119.27 × 3,480.63
  4. Step 4: Simplify right side
    6,077.69x = 31,740,804.74
  5. Step 5: Solve for x
    x = 31,740,804.74/6,077.69
  6. Step 6: Final answer
    x = 5,222.51

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Half scale
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Double scale
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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.