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Finding the Fourth Proportional to 9,898.60, 14,843.52 and 2,971.48

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Solution

The fourth proportional to 9,898.60, 14,843.52 and 2,971.48 is: 4,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.60 : 14,843.52 = 2,971.48 : x
  2. Step 2: Convert to fraction form
    9,898.60/14,843.52 = 2,971.48/x
  3. Step 3: Cross multiply
    9,898.60x = 14,843.52 × 2,971.48
  4. Step 4: Simplify right side
    9,898.60x = 44,107,222.81
  5. Step 5: Solve for x
    x = 44,107,222.81/9,898.60
  6. Step 6: Final answer
    x = 4,455.91

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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.