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Finding the Fourth Proportional to 10,944, 15,102.74 and 6,228.29

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Solution

The fourth proportional to 10,944, 15,102.74 and 6,228.29 is: 8,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944 : 15,102.74 = 6,228.29 : x
  2. Step 2: Convert to fraction form
    10,944/15,102.74 = 6,228.29/x
  3. Step 3: Cross multiply
    10,944x = 15,102.74 × 6,228.29
  4. Step 4: Simplify right side
    10,944x = 94,064,137.86
  5. Step 5: Solve for x
    x = 94,064,137.86/10,944
  6. Step 6: Final answer
    x = 8,595.04

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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.