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Finding the Fourth Proportional to 9,473.64, 14,194.75 and 5,764.65

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Solution

The fourth proportional to 9,473.64, 14,194.75 and 5,764.65 is: 8,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.64 : 14,194.75 = 5,764.65 : x
  2. Step 2: Convert to fraction form
    9,473.64/14,194.75 = 5,764.65/x
  3. Step 3: Cross multiply
    9,473.64x = 14,194.75 × 5,764.65
  4. Step 4: Simplify right side
    9,473.64x = 81,827,765.59
  5. Step 5: Solve for x
    x = 81,827,765.59/9,473.64
  6. Step 6: Final answer
    x = 8,637.42

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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.