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Finding the Fourth Proportional to 6,908.84, 9,537.99 and 5,144.66

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Solution

The fourth proportional to 6,908.84, 9,537.99 and 5,144.66 is: 7,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.84 : 9,537.99 = 5,144.66 : x
  2. Step 2: Convert to fraction form
    6,908.84/9,537.99 = 5,144.66/x
  3. Step 3: Cross multiply
    6,908.84x = 9,537.99 × 5,144.66
  4. Step 4: Simplify right side
    6,908.84x = 49,069,715.63
  5. Step 5: Solve for x
    x = 49,069,715.63/6,908.84
  6. Step 6: Final answer
    x = 7,102.45

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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.