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Finding the Fourth Proportional to 10,122.57, 15,178.59 and 4,573.26

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Solution

The fourth proportional to 10,122.57, 15,178.59 and 4,573.26 is: 6,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.57 : 15,178.59 = 4,573.26 : x
  2. Step 2: Convert to fraction form
    10,122.57/15,178.59 = 4,573.26/x
  3. Step 3: Cross multiply
    10,122.57x = 15,178.59 × 4,573.26
  4. Step 4: Simplify right side
    10,122.57x = 69,415,638.50
  5. Step 5: Solve for x
    x = 69,415,638.50/10,122.57
  6. Step 6: Final answer
    x = 6,857.51

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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.