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Finding the Fourth Proportional to 13,047.68, 19,573.86 and 6,122

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Solution

The fourth proportional to 13,047.68, 19,573.86 and 6,122 is: 9,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.68 : 19,573.86 = 6,122 : x
  2. Step 2: Convert to fraction form
    13,047.68/19,573.86 = 6,122/x
  3. Step 3: Cross multiply
    13,047.68x = 19,573.86 × 6,122
  4. Step 4: Simplify right side
    13,047.68x = 119,831,170.92
  5. Step 5: Solve for x
    x = 119,831,170.92/13,047.68
  6. Step 6: Final answer
    x = 9,184.10

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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.