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Finding the Fourth Proportional to 9,898.59, 14,846.50 and 2,502.60

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Solution

The fourth proportional to 9,898.59, 14,846.50 and 2,502.60 is: 3,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.59 : 14,846.50 = 2,502.60 : x
  2. Step 2: Convert to fraction form
    9,898.59/14,846.50 = 2,502.60/x
  3. Step 3: Cross multiply
    9,898.59x = 14,846.50 × 2,502.60
  4. Step 4: Simplify right side
    9,898.59x = 37,154,850.90
  5. Step 5: Solve for x
    x = 37,154,850.90/9,898.59
  6. Step 6: Final answer
    x = 3,753.55

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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.