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Finding the Fourth Proportional to 7,064.75, 9,754.43 and 5,306.04

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Solution

The fourth proportional to 7,064.75, 9,754.43 and 5,306.04 is: 7,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.75 : 9,754.43 = 5,306.04 : x
  2. Step 2: Convert to fraction form
    7,064.75/9,754.43 = 5,306.04/x
  3. Step 3: Cross multiply
    7,064.75x = 9,754.43 × 5,306.04
  4. Step 4: Simplify right side
    7,064.75x = 51,757,369.23
  5. Step 5: Solve for x
    x = 51,757,369.23/7,064.75
  6. Step 6: Final answer
    x = 7,326.14

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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.