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Finding the Fourth Proportional to 6,849.11, 9,453 and 6,537.47

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Solution

The fourth proportional to 6,849.11, 9,453 and 6,537.47 is: 9,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.11 : 9,453 = 6,537.47 : x
  2. Step 2: Convert to fraction form
    6,849.11/9,453 = 6,537.47/x
  3. Step 3: Cross multiply
    6,849.11x = 9,453 × 6,537.47
  4. Step 4: Simplify right side
    6,849.11x = 61,798,703.91
  5. Step 5: Solve for x
    x = 61,798,703.91/6,849.11
  6. Step 6: Final answer
    x = 9,022.88

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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.