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Finding the Fourth Proportional to 5,964.87, 8,237.65 and 4,470.42

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Solution

The fourth proportional to 5,964.87, 8,237.65 and 4,470.42 is: 6,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.87 : 8,237.65 = 4,470.42 : x
  2. Step 2: Convert to fraction form
    5,964.87/8,237.65 = 4,470.42/x
  3. Step 3: Cross multiply
    5,964.87x = 8,237.65 × 4,470.42
  4. Step 4: Simplify right side
    5,964.87x = 36,825,783.41
  5. Step 5: Solve for x
    x = 36,825,783.41/5,964.87
  6. Step 6: Final answer
    x = 6,173.77

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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.