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Finding the Fourth Proportional to 6,101.46, 8,417.73 and 3,583.65

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Solution

The fourth proportional to 6,101.46, 8,417.73 and 3,583.65 is: 4,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.46 : 8,417.73 = 3,583.65 : x
  2. Step 2: Convert to fraction form
    6,101.46/8,417.73 = 3,583.65/x
  3. Step 3: Cross multiply
    6,101.46x = 8,417.73 × 3,583.65
  4. Step 4: Simplify right side
    6,101.46x = 30,166,198.11
  5. Step 5: Solve for x
    x = 30,166,198.11/6,101.46
  6. Step 6: Final answer
    x = 4,944.10

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.