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Finding the Fourth Proportional to 6,109.04, 9,163.52 and 1,492

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Solution

The fourth proportional to 6,109.04, 9,163.52 and 1,492 is: 2,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.04 : 9,163.52 = 1,492 : x
  2. Step 2: Convert to fraction form
    6,109.04/9,163.52 = 1,492/x
  3. Step 3: Cross multiply
    6,109.04x = 9,163.52 × 1,492
  4. Step 4: Simplify right side
    6,109.04x = 13,671,971.84
  5. Step 5: Solve for x
    x = 13,671,971.84/6,109.04
  6. Step 6: Final answer
    x = 2,237.99

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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.