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Finding the Fourth Proportional to 10,169.63, 14,037.86 and 7,659.03

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Solution

The fourth proportional to 10,169.63, 14,037.86 and 7,659.03 is: 10,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.63 : 14,037.86 = 7,659.03 : x
  2. Step 2: Convert to fraction form
    10,169.63/14,037.86 = 7,659.03/x
  3. Step 3: Cross multiply
    10,169.63x = 14,037.86 × 7,659.03
  4. Step 4: Simplify right side
    10,169.63x = 107,516,410.02
  5. Step 5: Solve for x
    x = 107,516,410.02/10,169.63
  6. Step 6: Final answer
    x = 10,572.31

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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.