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Finding the Fourth Proportional to 6,670.98, 9,206.73 and 5,549.94

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Solution

The fourth proportional to 6,670.98, 9,206.73 and 5,549.94 is: 7,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.98 : 9,206.73 = 5,549.94 : x
  2. Step 2: Convert to fraction form
    6,670.98/9,206.73 = 5,549.94/x
  3. Step 3: Cross multiply
    6,670.98x = 9,206.73 × 5,549.94
  4. Step 4: Simplify right side
    6,670.98x = 51,096,799.10
  5. Step 5: Solve for x
    x = 51,096,799.10/6,670.98
  6. Step 6: Final answer
    x = 7,659.56

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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.