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Finding the Fourth Proportional to 6,471.42, 9,712.90 and 3,010.62

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Solution

The fourth proportional to 6,471.42, 9,712.90 and 3,010.62 is: 4,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.42 : 9,712.90 = 3,010.62 : x
  2. Step 2: Convert to fraction form
    6,471.42/9,712.90 = 3,010.62/x
  3. Step 3: Cross multiply
    6,471.42x = 9,712.90 × 3,010.62
  4. Step 4: Simplify right side
    6,471.42x = 29,241,851.00
  5. Step 5: Solve for x
    x = 29,241,851.00/6,471.42
  6. Step 6: Final answer
    x = 4,518.61

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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.