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Finding the Fourth Proportional to 7,525, 10,384.50 and 4,213

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Solution

The fourth proportional to 7,525, 10,384.50 and 4,213 is: 5,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525 : 10,384.50 = 4,213 : x
  2. Step 2: Convert to fraction form
    7,525/10,384.50 = 4,213/x
  3. Step 3: Cross multiply
    7,525x = 10,384.50 × 4,213
  4. Step 4: Simplify right side
    7,525x = 43,749,898.50
  5. Step 5: Solve for x
    x = 43,749,898.50/7,525
  6. Step 6: Final answer
    x = 5,813.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.