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Finding the Fourth Proportional to 6,575.77, 9,080.47 and 6,116.50

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Solution

The fourth proportional to 6,575.77, 9,080.47 and 6,116.50 is: 8,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.77 : 9,080.47 = 6,116.50 : x
  2. Step 2: Convert to fraction form
    6,575.77/9,080.47 = 6,116.50/x
  3. Step 3: Cross multiply
    6,575.77x = 9,080.47 × 6,116.50
  4. Step 4: Simplify right side
    6,575.77x = 55,540,694.76
  5. Step 5: Solve for x
    x = 55,540,694.76/6,575.77
  6. Step 6: Final answer
    x = 8,446.26

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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.