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Finding the Fourth Proportional to 9,602.44, 14,403.67 and 3,029.14

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Solution

The fourth proportional to 9,602.44, 14,403.67 and 3,029.14 is: 4,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.44 : 14,403.67 = 3,029.14 : x
  2. Step 2: Convert to fraction form
    9,602.44/14,403.67 = 3,029.14/x
  3. Step 3: Cross multiply
    9,602.44x = 14,403.67 × 3,029.14
  4. Step 4: Simplify right side
    9,602.44x = 43,630,717.80
  5. Step 5: Solve for x
    x = 43,630,717.80/9,602.44
  6. Step 6: Final answer
    x = 4,543.71

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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.