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Finding the Fourth Proportional to 6,765.66, 9,340.11 and 4,666.14

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Solution

The fourth proportional to 6,765.66, 9,340.11 and 4,666.14 is: 6,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.66 : 9,340.11 = 4,666.14 : x
  2. Step 2: Convert to fraction form
    6,765.66/9,340.11 = 4,666.14/x
  3. Step 3: Cross multiply
    6,765.66x = 9,340.11 × 4,666.14
  4. Step 4: Simplify right side
    6,765.66x = 43,582,260.88
  5. Step 5: Solve for x
    x = 43,582,260.88/6,765.66
  6. Step 6: Final answer
    x = 6,441.69

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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.