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Finding the Fourth Proportional to 6,045.66, 9,071.10 and 3,274.32

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Solution

The fourth proportional to 6,045.66, 9,071.10 and 3,274.32 is: 4,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.66 : 9,071.10 = 3,274.32 : x
  2. Step 2: Convert to fraction form
    6,045.66/9,071.10 = 3,274.32/x
  3. Step 3: Cross multiply
    6,045.66x = 9,071.10 × 3,274.32
  4. Step 4: Simplify right side
    6,045.66x = 29,701,684.15
  5. Step 5: Solve for x
    x = 29,701,684.15/6,045.66
  6. Step 6: Final answer
    x = 4,912.89

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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.