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Finding the Fourth Proportional to 10,605, 15,907.50 and 3,309

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Solution

The fourth proportional to 10,605, 15,907.50 and 3,309 is: 4,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605 : 15,907.50 = 3,309 : x
  2. Step 2: Convert to fraction form
    10,605/15,907.50 = 3,309/x
  3. Step 3: Cross multiply
    10,605x = 15,907.50 × 3,309
  4. Step 4: Simplify right side
    10,605x = 52,637,917.50
  5. Step 5: Solve for x
    x = 52,637,917.50/10,605
  6. Step 6: Final answer
    x = 4,963.50

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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.