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Finding the Fourth Proportional to 7,697.62, 10,620.30 and 4,710.34

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Solution

The fourth proportional to 7,697.62, 10,620.30 and 4,710.34 is: 6,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.62 : 10,620.30 = 4,710.34 : x
  2. Step 2: Convert to fraction form
    7,697.62/10,620.30 = 4,710.34/x
  3. Step 3: Cross multiply
    7,697.62x = 10,620.30 × 4,710.34
  4. Step 4: Simplify right side
    7,697.62x = 50,025,223.90
  5. Step 5: Solve for x
    x = 50,025,223.90/7,697.62
  6. Step 6: Final answer
    x = 6,498.79

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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.