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Finding the Fourth Proportional to 6,443.42, 9,652.54 and 4,441.75

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Solution

The fourth proportional to 6,443.42, 9,652.54 and 4,441.75 is: 6,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.42 : 9,652.54 = 4,441.75 : x
  2. Step 2: Convert to fraction form
    6,443.42/9,652.54 = 4,441.75/x
  3. Step 3: Cross multiply
    6,443.42x = 9,652.54 × 4,441.75
  4. Step 4: Simplify right side
    6,443.42x = 42,874,169.55
  5. Step 5: Solve for x
    x = 42,874,169.55/6,443.42
  6. Step 6: Final answer
    x = 6,653.95

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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.