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Finding the Fourth Proportional to 6,598.56, 9,106.19 and 3,766.34

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Solution

The fourth proportional to 6,598.56, 9,106.19 and 3,766.34 is: 5,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.56 : 9,106.19 = 3,766.34 : x
  2. Step 2: Convert to fraction form
    6,598.56/9,106.19 = 3,766.34/x
  3. Step 3: Cross multiply
    6,598.56x = 9,106.19 × 3,766.34
  4. Step 4: Simplify right side
    6,598.56x = 34,296,943.28
  5. Step 5: Solve for x
    x = 34,296,943.28/6,598.56
  6. Step 6: Final answer
    x = 5,197.64

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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.