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Finding the Fourth Proportional to 6,235.62, 9,356.00 and 4,578.21

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Solution

The fourth proportional to 6,235.62, 9,356.00 and 4,578.21 is: 6,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.62 : 9,356.00 = 4,578.21 : x
  2. Step 2: Convert to fraction form
    6,235.62/9,356.00 = 4,578.21/x
  3. Step 3: Cross multiply
    6,235.62x = 9,356.00 × 4,578.21
  4. Step 4: Simplify right side
    6,235.62x = 42,833,692.33
  5. Step 5: Solve for x
    x = 42,833,692.33/6,235.62
  6. Step 6: Final answer
    x = 6,869.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.