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Finding the Fourth Proportional to 8,449.97, 11,661.96 and 5,094.48

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Solution

The fourth proportional to 8,449.97, 11,661.96 and 5,094.48 is: 7,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.97 : 11,661.96 = 5,094.48 : x
  2. Step 2: Convert to fraction form
    8,449.97/11,661.96 = 5,094.48/x
  3. Step 3: Cross multiply
    8,449.97x = 11,661.96 × 5,094.48
  4. Step 4: Simplify right side
    8,449.97x = 59,411,621.98
  5. Step 5: Solve for x
    x = 59,411,621.98/8,449.97
  6. Step 6: Final answer
    x = 7,030.99

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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.