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Finding the Fourth Proportional to 11,873.52, 16,378.31 and 7,840.38

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Solution

The fourth proportional to 11,873.52, 16,378.31 and 7,840.38 is: 10,815.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.52 : 16,378.31 = 7,840.38 : x
  2. Step 2: Convert to fraction form
    11,873.52/16,378.31 = 7,840.38/x
  3. Step 3: Cross multiply
    11,873.52x = 16,378.31 × 7,840.38
  4. Step 4: Simplify right side
    11,873.52x = 128,412,255.18
  5. Step 5: Solve for x
    x = 128,412,255.18/11,873.52
  6. Step 6: Final answer
    x = 10,815.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.