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Finding the Fourth Proportional to 7,697.37, 10,622.39 and 4,340.21

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Solution

The fourth proportional to 7,697.37, 10,622.39 and 4,340.21 is: 5,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.37 : 10,622.39 = 4,340.21 : x
  2. Step 2: Convert to fraction form
    7,697.37/10,622.39 = 4,340.21/x
  3. Step 3: Cross multiply
    7,697.37x = 10,622.39 × 4,340.21
  4. Step 4: Simplify right side
    7,697.37x = 46,103,408.16
  5. Step 5: Solve for x
    x = 46,103,408.16/7,697.37
  6. Step 6: Final answer
    x = 5,989.50

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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.