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Finding the Fourth Proportional to 10,941, 15,098.70 and 5,973

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Solution

The fourth proportional to 10,941, 15,098.70 and 5,973 is: 8,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941 : 15,098.70 = 5,973 : x
  2. Step 2: Convert to fraction form
    10,941/15,098.70 = 5,973/x
  3. Step 3: Cross multiply
    10,941x = 15,098.70 × 5,973
  4. Step 4: Simplify right side
    10,941x = 90,184,535.10
  5. Step 5: Solve for x
    x = 90,184,535.10/10,941
  6. Step 6: Final answer
    x = 8,242.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.