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Finding the Fourth Proportional to 9,447.72, 14,164.65 and 4,765.41

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Solution

The fourth proportional to 9,447.72, 14,164.65 and 4,765.41 is: 7,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.72 : 14,164.65 = 4,765.41 : x
  2. Step 2: Convert to fraction form
    9,447.72/14,164.65 = 4,765.41/x
  3. Step 3: Cross multiply
    9,447.72x = 14,164.65 × 4,765.41
  4. Step 4: Simplify right side
    9,447.72x = 67,500,364.76
  5. Step 5: Solve for x
    x = 67,500,364.76/9,447.72
  6. Step 6: Final answer
    x = 7,144.62

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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.