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Finding the Fourth Proportional to 10,339.63, 14,264.26 and 8,092.48

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Solution

The fourth proportional to 10,339.63, 14,264.26 and 8,092.48 is: 11,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.63 : 14,264.26 = 8,092.48 : x
  2. Step 2: Convert to fraction form
    10,339.63/14,264.26 = 8,092.48/x
  3. Step 3: Cross multiply
    10,339.63x = 14,264.26 × 8,092.48
  4. Step 4: Simplify right side
    10,339.63x = 115,433,238.76
  5. Step 5: Solve for x
    x = 115,433,238.76/10,339.63
  6. Step 6: Final answer
    x = 11,164.16

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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.