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Finding the Fourth Proportional to 4,097.66, 6,146.47 and 1,019.66

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Solution

The fourth proportional to 4,097.66, 6,146.47 and 1,019.66 is: 1,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.66 : 6,146.47 = 1,019.66 : x
  2. Step 2: Convert to fraction form
    4,097.66/6,146.47 = 1,019.66/x
  3. Step 3: Cross multiply
    4,097.66x = 6,146.47 × 1,019.66
  4. Step 4: Simplify right side
    4,097.66x = 6,267,309.60
  5. Step 5: Solve for x
    x = 6,267,309.60/4,097.66
  6. Step 6: Final answer
    x = 1,529.49

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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.