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Finding the Fourth Proportional to 10,139.49, 15,208.03 and 3,119.49

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Solution

The fourth proportional to 10,139.49, 15,208.03 and 3,119.49 is: 4,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.49 : 15,208.03 = 3,119.49 : x
  2. Step 2: Convert to fraction form
    10,139.49/15,208.03 = 3,119.49/x
  3. Step 3: Cross multiply
    10,139.49x = 15,208.03 × 3,119.49
  4. Step 4: Simplify right side
    10,139.49x = 47,441,297.50
  5. Step 5: Solve for x
    x = 47,441,297.50/10,139.49
  6. Step 6: Final answer
    x = 4,678.86

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1.5x scale

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.