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Finding the Fourth Proportional to 6,520.34, 9,765.12 and 4,662.74

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Solution

The fourth proportional to 6,520.34, 9,765.12 and 4,662.74 is: 6,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.34 : 9,765.12 = 4,662.74 : x
  2. Step 2: Convert to fraction form
    6,520.34/9,765.12 = 4,662.74/x
  3. Step 3: Cross multiply
    6,520.34x = 9,765.12 × 4,662.74
  4. Step 4: Simplify right side
    6,520.34x = 45,532,215.63
  5. Step 5: Solve for x
    x = 45,532,215.63/6,520.34
  6. Step 6: Final answer
    x = 6,983.10

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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.