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Finding the Fourth Proportional to 6,235.56, 9,302.13 and 5,578.92

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Solution

The fourth proportional to 6,235.56, 9,302.13 and 5,578.92 is: 8,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.56 : 9,302.13 = 5,578.92 : x
  2. Step 2: Convert to fraction form
    6,235.56/9,302.13 = 5,578.92/x
  3. Step 3: Cross multiply
    6,235.56x = 9,302.13 × 5,578.92
  4. Step 4: Simplify right side
    6,235.56x = 51,895,839.10
  5. Step 5: Solve for x
    x = 51,895,839.10/6,235.56
  6. Step 6: Final answer
    x = 8,322.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.