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Finding the Fourth Proportional to 10,625.63, 14,663.65 and 5,845.70

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Solution

The fourth proportional to 10,625.63, 14,663.65 and 5,845.70 is: 8,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.63 : 14,663.65 = 5,845.70 : x
  2. Step 2: Convert to fraction form
    10,625.63/14,663.65 = 5,845.70/x
  3. Step 3: Cross multiply
    10,625.63x = 14,663.65 × 5,845.70
  4. Step 4: Simplify right side
    10,625.63x = 85,719,298.81
  5. Step 5: Solve for x
    x = 85,719,298.81/10,625.63
  6. Step 6: Final answer
    x = 8,067.22

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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.