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Finding the Fourth Proportional to 9,898.75, 14,829.58 and 4,962.61

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Solution

The fourth proportional to 9,898.75, 14,829.58 and 4,962.61 is: 7,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.75 : 14,829.58 = 4,962.61 : x
  2. Step 2: Convert to fraction form
    9,898.75/14,829.58 = 4,962.61/x
  3. Step 3: Cross multiply
    9,898.75x = 14,829.58 × 4,962.61
  4. Step 4: Simplify right side
    9,898.75x = 73,593,422.00
  5. Step 5: Solve for x
    x = 73,593,422.00/9,898.75
  6. Step 6: Final answer
    x = 7,434.62

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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.