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Finding the Fourth Proportional to 4,604.06, 6,906.12 and 1,681.22

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Solution

The fourth proportional to 4,604.06, 6,906.12 and 1,681.22 is: 2,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.06 : 6,906.12 = 1,681.22 : x
  2. Step 2: Convert to fraction form
    4,604.06/6,906.12 = 1,681.22/x
  3. Step 3: Cross multiply
    4,604.06x = 6,906.12 × 1,681.22
  4. Step 4: Simplify right side
    4,604.06x = 11,610,707.07
  5. Step 5: Solve for x
    x = 11,610,707.07/4,604.06
  6. Step 6: Final answer
    x = 2,521.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.