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Finding the Fourth Proportional to 10,609, 15,913.50 and 3,313

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Solution

The fourth proportional to 10,609, 15,913.50 and 3,313 is: 4,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609 : 15,913.50 = 3,313 : x
  2. Step 2: Convert to fraction form
    10,609/15,913.50 = 3,313/x
  3. Step 3: Cross multiply
    10,609x = 15,913.50 × 3,313
  4. Step 4: Simplify right side
    10,609x = 52,721,425.50
  5. Step 5: Solve for x
    x = 52,721,425.50/10,609
  6. Step 6: Final answer
    x = 4,969.50

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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.