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Finding the Fourth Proportional to 9,817.02, 13,525.02 and 6,789.24

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Solution

The fourth proportional to 9,817.02, 13,525.02 and 6,789.24 is: 9,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.02 : 13,525.02 = 6,789.24 : x
  2. Step 2: Convert to fraction form
    9,817.02/13,525.02 = 6,789.24/x
  3. Step 3: Cross multiply
    9,817.02x = 13,525.02 × 6,789.24
  4. Step 4: Simplify right side
    9,817.02x = 91,824,606.78
  5. Step 5: Solve for x
    x = 91,824,606.78/9,817.02
  6. Step 6: Final answer
    x = 9,353.61

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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.