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Finding the Fourth Proportional to 6,078.93, 8,384.76 and 3,722.24

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Solution

The fourth proportional to 6,078.93, 8,384.76 and 3,722.24 is: 5,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.93 : 8,384.76 = 3,722.24 : x
  2. Step 2: Convert to fraction form
    6,078.93/8,384.76 = 3,722.24/x
  3. Step 3: Cross multiply
    6,078.93x = 8,384.76 × 3,722.24
  4. Step 4: Simplify right side
    6,078.93x = 31,210,047.14
  5. Step 5: Solve for x
    x = 31,210,047.14/6,078.93
  6. Step 6: Final answer
    x = 5,134.13

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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.