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Finding the Fourth Proportional to 6,971, 10,442.34 and 3,268.04

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Solution

The fourth proportional to 6,971, 10,442.34 and 3,268.04 is: 4,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971 : 10,442.34 = 3,268.04 : x
  2. Step 2: Convert to fraction form
    6,971/10,442.34 = 3,268.04/x
  3. Step 3: Cross multiply
    6,971x = 10,442.34 × 3,268.04
  4. Step 4: Simplify right side
    6,971x = 34,125,984.81
  5. Step 5: Solve for x
    x = 34,125,984.81/6,971
  6. Step 6: Final answer
    x = 4,895.42

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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.