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Finding the Fourth Proportional to 11,751.84, 16,218.23 and 6,973.25

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Solution

The fourth proportional to 11,751.84, 16,218.23 and 6,973.25 is: 9,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.84 : 16,218.23 = 6,973.25 : x
  2. Step 2: Convert to fraction form
    11,751.84/16,218.23 = 6,973.25/x
  3. Step 3: Cross multiply
    11,751.84x = 16,218.23 × 6,973.25
  4. Step 4: Simplify right side
    11,751.84x = 113,093,656.39
  5. Step 5: Solve for x
    x = 113,093,656.39/11,751.84
  6. Step 6: Final answer
    x = 9,623.49

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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.