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Finding the Fourth Proportional to 8,342.76, 11,514.42 and 4,805.32

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Solution

The fourth proportional to 8,342.76, 11,514.42 and 4,805.32 is: 6,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.76 : 11,514.42 = 4,805.32 : x
  2. Step 2: Convert to fraction form
    8,342.76/11,514.42 = 4,805.32/x
  3. Step 3: Cross multiply
    8,342.76x = 11,514.42 × 4,805.32
  4. Step 4: Simplify right side
    8,342.76x = 55,330,472.71
  5. Step 5: Solve for x
    x = 55,330,472.71/8,342.76
  6. Step 6: Final answer
    x = 6,632.15

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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.