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Finding the Fourth Proportional to 8,090.97, 12,051.05 and 7,731.12

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Solution

The fourth proportional to 8,090.97, 12,051.05 and 7,731.12 is: 11,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.97 : 12,051.05 = 7,731.12 : x
  2. Step 2: Convert to fraction form
    8,090.97/12,051.05 = 7,731.12/x
  3. Step 3: Cross multiply
    8,090.97x = 12,051.05 × 7,731.12
  4. Step 4: Simplify right side
    8,090.97x = 93,168,113.68
  5. Step 5: Solve for x
    x = 93,168,113.68/8,090.97
  6. Step 6: Final answer
    x = 11,515.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.