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Finding the Fourth Proportional to 6,269.86, 9,404.07 and 1,653.22

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Solution

The fourth proportional to 6,269.86, 9,404.07 and 1,653.22 is: 2,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.86 : 9,404.07 = 1,653.22 : x
  2. Step 2: Convert to fraction form
    6,269.86/9,404.07 = 1,653.22/x
  3. Step 3: Cross multiply
    6,269.86x = 9,404.07 × 1,653.22
  4. Step 4: Simplify right side
    6,269.86x = 15,546,996.61
  5. Step 5: Solve for x
    x = 15,546,996.61/6,269.86
  6. Step 6: Final answer
    x = 2,479.64

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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.