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Finding the Fourth Proportional to 9,835.99, 13,571.25 and 6,009.64

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Solution

The fourth proportional to 9,835.99, 13,571.25 and 6,009.64 is: 8,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.99 : 13,571.25 = 6,009.64 : x
  2. Step 2: Convert to fraction form
    9,835.99/13,571.25 = 6,009.64/x
  3. Step 3: Cross multiply
    9,835.99x = 13,571.25 × 6,009.64
  4. Step 4: Simplify right side
    9,835.99x = 81,558,326.85
  5. Step 5: Solve for x
    x = 81,558,326.85/9,835.99
  6. Step 6: Final answer
    x = 8,291.83

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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.