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Finding the Fourth Proportional to 9,898.71, 14,849.43 and 3,325.40

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Solution

The fourth proportional to 9,898.71, 14,849.43 and 3,325.40 is: 4,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.71 : 14,849.43 = 3,325.40 : x
  2. Step 2: Convert to fraction form
    9,898.71/14,849.43 = 3,325.40/x
  3. Step 3: Cross multiply
    9,898.71x = 14,849.43 × 3,325.40
  4. Step 4: Simplify right side
    9,898.71x = 49,380,347.02
  5. Step 5: Solve for x
    x = 49,380,347.02/9,898.71
  6. Step 6: Final answer
    x = 4,988.57

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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.