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Finding the Fourth Proportional to 6,123, 9,184.50 and 1,506

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Solution

The fourth proportional to 6,123, 9,184.50 and 1,506 is: 2,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 9,184.50 = 1,506 : x
  2. Step 2: Convert to fraction form
    6,123/9,184.50 = 1,506/x
  3. Step 3: Cross multiply
    6,123x = 9,184.50 × 1,506
  4. Step 4: Simplify right side
    6,123x = 13,831,857
  5. Step 5: Solve for x
    x = 13,831,857/6,123
  6. Step 6: Final answer
    x = 2,259

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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.