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Finding the Fourth Proportional to 7,144.97, 9,849.76 and 5,013.88

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Solution

The fourth proportional to 7,144.97, 9,849.76 and 5,013.88 is: 6,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.97 : 9,849.76 = 5,013.88 : x
  2. Step 2: Convert to fraction form
    7,144.97/9,849.76 = 5,013.88/x
  3. Step 3: Cross multiply
    7,144.97x = 9,849.76 × 5,013.88
  4. Step 4: Simplify right side
    7,144.97x = 49,385,477.51
  5. Step 5: Solve for x
    x = 49,385,477.51/7,144.97
  6. Step 6: Final answer
    x = 6,911.93

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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.