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Finding the Fourth Proportional to 7,682.57, 10,597.02 and 5,324.26

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Solution

The fourth proportional to 7,682.57, 10,597.02 and 5,324.26 is: 7,344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.57 : 10,597.02 = 5,324.26 : x
  2. Step 2: Convert to fraction form
    7,682.57/10,597.02 = 5,324.26/x
  3. Step 3: Cross multiply
    7,682.57x = 10,597.02 × 5,324.26
  4. Step 4: Simplify right side
    7,682.57x = 56,421,236.72
  5. Step 5: Solve for x
    x = 56,421,236.72/7,682.57
  6. Step 6: Final answer
    x = 7,344.06

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.