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Finding the Fourth Proportional to 9,602.88, 14,404.32 and 3,029.73

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Solution

The fourth proportional to 9,602.88, 14,404.32 and 3,029.73 is: 4,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.88 : 14,404.32 = 3,029.73 : x
  2. Step 2: Convert to fraction form
    9,602.88/14,404.32 = 3,029.73/x
  3. Step 3: Cross multiply
    9,602.88x = 14,404.32 × 3,029.73
  4. Step 4: Simplify right side
    9,602.88x = 43,641,200.43
  5. Step 5: Solve for x
    x = 43,641,200.43/9,602.88
  6. Step 6: Final answer
    x = 4,544.60

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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.