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Finding the Fourth Proportional to 23,874.40, 35,811.42 and 6,345.46

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Solution

The fourth proportional to 23,874.40, 35,811.42 and 6,345.46 is: 9,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.40 : 35,811.42 = 6,345.46 : x
  2. Step 2: Convert to fraction form
    23,874.40/35,811.42 = 6,345.46/x
  3. Step 3: Cross multiply
    23,874.40x = 35,811.42 × 6,345.46
  4. Step 4: Simplify right side
    23,874.40x = 227,239,933.15
  5. Step 5: Solve for x
    x = 227,239,933.15/23,874.40
  6. Step 6: Final answer
    x = 9,518.14

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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.