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Finding the Fourth Proportional to 8,182.82, 11,292.18 and 4,646

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Solution

The fourth proportional to 8,182.82, 11,292.18 and 4,646 is: 6,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.82 : 11,292.18 = 4,646 : x
  2. Step 2: Convert to fraction form
    8,182.82/11,292.18 = 4,646/x
  3. Step 3: Cross multiply
    8,182.82x = 11,292.18 × 4,646
  4. Step 4: Simplify right side
    8,182.82x = 52,463,468.28
  5. Step 5: Solve for x
    x = 52,463,468.28/8,182.82
  6. Step 6: Final answer
    x = 6,411.42

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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.