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Finding the Fourth Proportional to 23,871.78, 35,815.32 and 9,838.38

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Solution

The fourth proportional to 23,871.78, 35,815.32 and 9,838.38 is: 14,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.78 : 35,815.32 = 9,838.38 : x
  2. Step 2: Convert to fraction form
    23,871.78/35,815.32 = 9,838.38/x
  3. Step 3: Cross multiply
    23,871.78x = 35,815.32 × 9,838.38
  4. Step 4: Simplify right side
    23,871.78x = 352,364,727.98
  5. Step 5: Solve for x
    x = 352,364,727.98/23,871.78
  6. Step 6: Final answer
    x = 14,760.72

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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.