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Finding the Fourth Proportional to 3,106.07, 4,659.06 and 766.10

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Solution

The fourth proportional to 3,106.07, 4,659.06 and 766.10 is: 1,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.07 : 4,659.06 = 766.10 : x
  2. Step 2: Convert to fraction form
    3,106.07/4,659.06 = 766.10/x
  3. Step 3: Cross multiply
    3,106.07x = 4,659.06 × 766.10
  4. Step 4: Simplify right side
    3,106.07x = 3,569,305.87
  5. Step 5: Solve for x
    x = 3,569,305.87/3,106.07
  6. Step 6: Final answer
    x = 1,149.14

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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.