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Finding the Fourth Proportional to 9,596.91, 13,244.82 and 5,820.26

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Solution

The fourth proportional to 9,596.91, 13,244.82 and 5,820.26 is: 8,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.91 : 13,244.82 = 5,820.26 : x
  2. Step 2: Convert to fraction form
    9,596.91/13,244.82 = 5,820.26/x
  3. Step 3: Cross multiply
    9,596.91x = 13,244.82 × 5,820.26
  4. Step 4: Simplify right side
    9,596.91x = 77,088,208.00
  5. Step 5: Solve for x
    x = 77,088,208.00/9,596.91
  6. Step 6: Final answer
    x = 8,032.60

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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.