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Finding the Fourth Proportional to 7,697.64, 10,622.34 and 4,340.46

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Solution

The fourth proportional to 7,697.64, 10,622.34 and 4,340.46 is: 5,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.64 : 10,622.34 = 4,340.46 : x
  2. Step 2: Convert to fraction form
    7,697.64/10,622.34 = 4,340.46/x
  3. Step 3: Cross multiply
    7,697.64x = 10,622.34 × 4,340.46
  4. Step 4: Simplify right side
    7,697.64x = 46,105,841.88
  5. Step 5: Solve for x
    x = 46,105,841.88/7,697.64
  6. Step 6: Final answer
    x = 5,989.61

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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.