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Finding the Fourth Proportional to 8,462.64, 11,667.60 and 6,571.02

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Solution

The fourth proportional to 8,462.64, 11,667.60 and 6,571.02 is: 9,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.64 : 11,667.60 = 6,571.02 : x
  2. Step 2: Convert to fraction form
    8,462.64/11,667.60 = 6,571.02/x
  3. Step 3: Cross multiply
    8,462.64x = 11,667.60 × 6,571.02
  4. Step 4: Simplify right side
    8,462.64x = 76,668,032.95
  5. Step 5: Solve for x
    x = 76,668,032.95/8,462.64
  6. Step 6: Final answer
    x = 9,059.59

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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.