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Finding the Fourth Proportional to 6,356.46, 9,529.89 and 2,842.22

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Solution

The fourth proportional to 6,356.46, 9,529.89 and 2,842.22 is: 4,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.46 : 9,529.89 = 2,842.22 : x
  2. Step 2: Convert to fraction form
    6,356.46/9,529.89 = 2,842.22/x
  3. Step 3: Cross multiply
    6,356.46x = 9,529.89 × 2,842.22
  4. Step 4: Simplify right side
    6,356.46x = 27,086,043.96
  5. Step 5: Solve for x
    x = 27,086,043.96/6,356.46
  6. Step 6: Final answer
    x = 4,261.18

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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.