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Finding the Fourth Proportional to 23,854.50, 35,782.02 and 8,273.34

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Solution

The fourth proportional to 23,854.50, 35,782.02 and 8,273.34 is: 12,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.50 : 35,782.02 = 8,273.34 : x
  2. Step 2: Convert to fraction form
    23,854.50/35,782.02 = 8,273.34/x
  3. Step 3: Cross multiply
    23,854.50x = 35,782.02 × 8,273.34
  4. Step 4: Simplify right side
    23,854.50x = 296,036,817.35
  5. Step 5: Solve for x
    x = 296,036,817.35/23,854.50
  6. Step 6: Final answer
    x = 12,410.10

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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.