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Finding the Fourth Proportional to 4,623.36, 6,381 and 4,342.20

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Solution

The fourth proportional to 4,623.36, 6,381 and 4,342.20 is: 5,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.36 : 6,381 = 4,342.20 : x
  2. Step 2: Convert to fraction form
    4,623.36/6,381 = 4,342.20/x
  3. Step 3: Cross multiply
    4,623.36x = 6,381 × 4,342.20
  4. Step 4: Simplify right side
    4,623.36x = 27,707,578.20
  5. Step 5: Solve for x
    x = 27,707,578.20/4,623.36
  6. Step 6: Final answer
    x = 5,992.95

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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.