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Finding the Fourth Proportional to 9,930.98, 14,873.78 and 4,740.50

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Solution

The fourth proportional to 9,930.98, 14,873.78 and 4,740.50 is: 7,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.98 : 14,873.78 = 4,740.50 : x
  2. Step 2: Convert to fraction form
    9,930.98/14,873.78 = 4,740.50/x
  3. Step 3: Cross multiply
    9,930.98x = 14,873.78 × 4,740.50
  4. Step 4: Simplify right side
    9,930.98x = 70,509,154.09
  5. Step 5: Solve for x
    x = 70,509,154.09/9,930.98
  6. Step 6: Final answer
    x = 7,099.92

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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.