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Finding the Fourth Proportional to 9,968.95, 13,757.93 and 5,493.51

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Solution

The fourth proportional to 9,968.95, 13,757.93 and 5,493.51 is: 7,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.95 : 13,757.93 = 5,493.51 : x
  2. Step 2: Convert to fraction form
    9,968.95/13,757.93 = 5,493.51/x
  3. Step 3: Cross multiply
    9,968.95x = 13,757.93 × 5,493.51
  4. Step 4: Simplify right side
    9,968.95x = 75,579,326.03
  5. Step 5: Solve for x
    x = 75,579,326.03/9,968.95
  6. Step 6: Final answer
    x = 7,581.47

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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.