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Finding the Fourth Proportional to 10,324.32, 15,486.48 and 4,164

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Solution

The fourth proportional to 10,324.32, 15,486.48 and 4,164 is: 6,246

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.32 : 15,486.48 = 4,164 : x
  2. Step 2: Convert to fraction form
    10,324.32/15,486.48 = 4,164/x
  3. Step 3: Cross multiply
    10,324.32x = 15,486.48 × 4,164
  4. Step 4: Simplify right side
    10,324.32x = 64,485,702.72
  5. Step 5: Solve for x
    x = 64,485,702.72/10,324.32
  6. Step 6: Final answer
    x = 6,246

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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.