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Finding the Fourth Proportional to 10,644.86, 14,690.34 and 5,929.13

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Solution

The fourth proportional to 10,644.86, 14,690.34 and 5,929.13 is: 8,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.86 : 14,690.34 = 5,929.13 : x
  2. Step 2: Convert to fraction form
    10,644.86/14,690.34 = 5,929.13/x
  3. Step 3: Cross multiply
    10,644.86x = 14,690.34 × 5,929.13
  4. Step 4: Simplify right side
    10,644.86x = 87,100,862.15
  5. Step 5: Solve for x
    x = 87,100,862.15/10,644.86
  6. Step 6: Final answer
    x = 8,182.44

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1.5x scale

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.