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Finding the Fourth Proportional to 23,863.80, 35,784.90 and 10,709.40

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Solution

The fourth proportional to 23,863.80, 35,784.90 and 10,709.40 is: 16,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.80 : 35,784.90 = 10,709.40 : x
  2. Step 2: Convert to fraction form
    23,863.80/35,784.90 = 10,709.40/x
  3. Step 3: Cross multiply
    23,863.80x = 35,784.90 × 10,709.40
  4. Step 4: Simplify right side
    23,863.80x = 383,234,808.06
  5. Step 5: Solve for x
    x = 383,234,808.06/23,863.80
  6. Step 6: Final answer
    x = 16,059.25

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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.