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Finding the Fourth Proportional to 9,990.64, 14,980.75 and 2,969.70

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Solution

The fourth proportional to 9,990.64, 14,980.75 and 2,969.70 is: 4,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.64 : 14,980.75 = 2,969.70 : x
  2. Step 2: Convert to fraction form
    9,990.64/14,980.75 = 2,969.70/x
  3. Step 3: Cross multiply
    9,990.64x = 14,980.75 × 2,969.70
  4. Step 4: Simplify right side
    9,990.64x = 44,488,269.67
  5. Step 5: Solve for x
    x = 44,488,269.67/9,990.64
  6. Step 6: Final answer
    x = 4,452.99

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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.