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Finding the Fourth Proportional to 7,564, 11,345.92 and 2,950.24

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Solution

The fourth proportional to 7,564, 11,345.92 and 2,950.24 is: 4,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564 : 11,345.92 = 2,950.24 : x
  2. Step 2: Convert to fraction form
    7,564/11,345.92 = 2,950.24/x
  3. Step 3: Cross multiply
    7,564x = 11,345.92 × 2,950.24
  4. Step 4: Simplify right side
    7,564x = 33,473,187.02
  5. Step 5: Solve for x
    x = 33,473,187.02/7,564
  6. Step 6: Final answer
    x = 4,425.33

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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.