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Finding the Fourth Proportional to 13,049.44, 19,574 and 6,119.04

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Solution

The fourth proportional to 13,049.44, 19,574 and 6,119.04 is: 9,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.44 : 19,574 = 6,119.04 : x
  2. Step 2: Convert to fraction form
    13,049.44/19,574 = 6,119.04/x
  3. Step 3: Cross multiply
    13,049.44x = 19,574 × 6,119.04
  4. Step 4: Simplify right side
    13,049.44x = 119,774,088.96
  5. Step 5: Solve for x
    x = 119,774,088.96/13,049.44
  6. Step 6: Final answer
    x = 9,178.48

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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.