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Finding the Fourth Proportional to 6,598.74, 9,106.41 and 3,766.44

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Solution

The fourth proportional to 6,598.74, 9,106.41 and 3,766.44 is: 5,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.74 : 9,106.41 = 3,766.44 : x
  2. Step 2: Convert to fraction form
    6,598.74/9,106.41 = 3,766.44/x
  3. Step 3: Cross multiply
    6,598.74x = 9,106.41 × 3,766.44
  4. Step 4: Simplify right side
    6,598.74x = 34,298,746.88
  5. Step 5: Solve for x
    x = 34,298,746.88/6,598.74
  6. Step 6: Final answer
    x = 5,197.77

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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.