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Finding the Fourth Proportional to 7,670.40, 11,489.40 and 6,374.40

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Solution

The fourth proportional to 7,670.40, 11,489.40 and 6,374.40 is: 9,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.40 : 11,489.40 = 6,374.40 : x
  2. Step 2: Convert to fraction form
    7,670.40/11,489.40 = 6,374.40/x
  3. Step 3: Cross multiply
    7,670.40x = 11,489.40 × 6,374.40
  4. Step 4: Simplify right side
    7,670.40x = 73,238,031.36
  5. Step 5: Solve for x
    x = 73,238,031.36/7,670.40
  6. Step 6: Final answer
    x = 9,548.14

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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.