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Finding the Fourth Proportional to 9,698.60, 14,551.24 and 4,151.72

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Solution

The fourth proportional to 9,698.60, 14,551.24 and 4,151.72 is: 6,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.60 : 14,551.24 = 4,151.72 : x
  2. Step 2: Convert to fraction form
    9,698.60/14,551.24 = 4,151.72/x
  3. Step 3: Cross multiply
    9,698.60x = 14,551.24 × 4,151.72
  4. Step 4: Simplify right side
    9,698.60x = 60,412,674.13
  5. Step 5: Solve for x
    x = 60,412,674.13/9,698.60
  6. Step 6: Final answer
    x = 6,229.01

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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.