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Finding the Fourth Proportional to 9,354.60, 14,014.89 and 5,447.16

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Solution

The fourth proportional to 9,354.60, 14,014.89 and 5,447.16 is: 8,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.60 : 14,014.89 = 5,447.16 : x
  2. Step 2: Convert to fraction form
    9,354.60/14,014.89 = 5,447.16/x
  3. Step 3: Cross multiply
    9,354.60x = 14,014.89 × 5,447.16
  4. Step 4: Simplify right side
    9,354.60x = 76,341,348.21
  5. Step 5: Solve for x
    x = 76,341,348.21/9,354.60
  6. Step 6: Final answer
    x = 8,160.84

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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.