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Finding the Fourth Proportional to 5,682.04, 8,523.10 and 5,434.20

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Solution

The fourth proportional to 5,682.04, 8,523.10 and 5,434.20 is: 8,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.04 : 8,523.10 = 5,434.20 : x
  2. Step 2: Convert to fraction form
    5,682.04/8,523.10 = 5,434.20/x
  3. Step 3: Cross multiply
    5,682.04x = 8,523.10 × 5,434.20
  4. Step 4: Simplify right side
    5,682.04x = 46,316,230.02
  5. Step 5: Solve for x
    x = 46,316,230.02/5,682.04
  6. Step 6: Final answer
    x = 8,151.34

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.