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Finding the Fourth Proportional to 11,873.15, 16,384.65 and 6,837.26

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Solution

The fourth proportional to 11,873.15, 16,384.65 and 6,837.26 is: 9,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.15 : 16,384.65 = 6,837.26 : x
  2. Step 2: Convert to fraction form
    11,873.15/16,384.65 = 6,837.26/x
  3. Step 3: Cross multiply
    11,873.15x = 16,384.65 × 6,837.26
  4. Step 4: Simplify right side
    11,873.15x = 112,026,112.06
  5. Step 5: Solve for x
    x = 112,026,112.06/11,873.15
  6. Step 6: Final answer
    x = 9,435.25

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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.