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Finding the Fourth Proportional to 10,667.10, 16,000.65 and 5,739.06

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Solution

The fourth proportional to 10,667.10, 16,000.65 and 5,739.06 is: 8,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.10 : 16,000.65 = 5,739.06 : x
  2. Step 2: Convert to fraction form
    10,667.10/16,000.65 = 5,739.06/x
  3. Step 3: Cross multiply
    10,667.10x = 16,000.65 × 5,739.06
  4. Step 4: Simplify right side
    10,667.10x = 91,828,690.39
  5. Step 5: Solve for x
    x = 91,828,690.39/10,667.10
  6. Step 6: Final answer
    x = 8,608.59

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1.5x scale

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.