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Finding the Fourth Proportional to 11,877.51, 16,392.99 and 6,840.82

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Solution

The fourth proportional to 11,877.51, 16,392.99 and 6,840.82 is: 9,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.51 : 16,392.99 = 6,840.82 : x
  2. Step 2: Convert to fraction form
    11,877.51/16,392.99 = 6,840.82/x
  3. Step 3: Cross multiply
    11,877.51x = 16,392.99 × 6,840.82
  4. Step 4: Simplify right side
    11,877.51x = 112,141,493.85
  5. Step 5: Solve for x
    x = 112,141,493.85/11,877.51
  6. Step 6: Final answer
    x = 9,441.50

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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.