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Finding the Fourth Proportional to 7,103.42, 10,637.94 and 6,057.44

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Solution

The fourth proportional to 7,103.42, 10,637.94 and 6,057.44 is: 9,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.42 : 10,637.94 = 6,057.44 : x
  2. Step 2: Convert to fraction form
    7,103.42/10,637.94 = 6,057.44/x
  3. Step 3: Cross multiply
    7,103.42x = 10,637.94 × 6,057.44
  4. Step 4: Simplify right side
    7,103.42x = 64,438,683.27
  5. Step 5: Solve for x
    x = 64,438,683.27/7,103.42
  6. Step 6: Final answer
    x = 9,071.50

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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.