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Finding the Fourth Proportional to 4,766.64, 7,135.77 and 4,266.06

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Solution

The fourth proportional to 4,766.64, 7,135.77 and 4,266.06 is: 6,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.64 : 7,135.77 = 4,266.06 : x
  2. Step 2: Convert to fraction form
    4,766.64/7,135.77 = 4,266.06/x
  3. Step 3: Cross multiply
    4,766.64x = 7,135.77 × 4,266.06
  4. Step 4: Simplify right side
    4,766.64x = 30,441,622.97
  5. Step 5: Solve for x
    x = 30,441,622.97/4,766.64
  6. Step 6: Final answer
    x = 6,386.39

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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.