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Finding the Fourth Proportional to 5,682.16, 7,841.23 and 5,514.49

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Solution

The fourth proportional to 5,682.16, 7,841.23 and 5,514.49 is: 7,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.16 : 7,841.23 = 5,514.49 : x
  2. Step 2: Convert to fraction form
    5,682.16/7,841.23 = 5,514.49/x
  3. Step 3: Cross multiply
    5,682.16x = 7,841.23 × 5,514.49
  4. Step 4: Simplify right side
    5,682.16x = 43,240,384.42
  5. Step 5: Solve for x
    x = 43,240,384.42/5,682.16
  6. Step 6: Final answer
    x = 7,609.85

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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.