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Finding the Fourth Proportional to 9,975.14, 14,958.10 and 2,952.64

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Solution

The fourth proportional to 9,975.14, 14,958.10 and 2,952.64 is: 4,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.14 : 14,958.10 = 2,952.64 : x
  2. Step 2: Convert to fraction form
    9,975.14/14,958.10 = 2,952.64/x
  3. Step 3: Cross multiply
    9,975.14x = 14,958.10 × 2,952.64
  4. Step 4: Simplify right side
    9,975.14x = 44,165,809.59
  5. Step 5: Solve for x
    x = 44,165,809.59/9,975.14
  6. Step 6: Final answer
    x = 4,427.59

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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.