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Finding the Fourth Proportional to 9,797.61, 14,698.95 and 4,249.69

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Solution

The fourth proportional to 9,797.61, 14,698.95 and 4,249.69 is: 6,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.61 : 14,698.95 = 4,249.69 : x
  2. Step 2: Convert to fraction form
    9,797.61/14,698.95 = 4,249.69/x
  3. Step 3: Cross multiply
    9,797.61x = 14,698.95 × 4,249.69
  4. Step 4: Simplify right side
    9,797.61x = 62,465,980.83
  5. Step 5: Solve for x
    x = 62,465,980.83/9,797.61
  6. Step 6: Final answer
    x = 6,375.63

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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.