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Finding the Fourth Proportional to 7,570, 11,354.92 and 2,956.24

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Solution

The fourth proportional to 7,570, 11,354.92 and 2,956.24 is: 4,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570 : 11,354.92 = 2,956.24 : x
  2. Step 2: Convert to fraction form
    7,570/11,354.92 = 2,956.24/x
  3. Step 3: Cross multiply
    7,570x = 11,354.92 × 2,956.24
  4. Step 4: Simplify right side
    7,570x = 33,567,868.70
  5. Step 5: Solve for x
    x = 33,567,868.70/7,570
  6. Step 6: Final answer
    x = 4,434.33

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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.