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Finding the Fourth Proportional to 14,342, 21,521.64 and 6,134

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Solution

The fourth proportional to 14,342, 21,521.64 and 6,134 is: 9,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342 : 21,521.64 = 6,134 : x
  2. Step 2: Convert to fraction form
    14,342/21,521.64 = 6,134/x
  3. Step 3: Cross multiply
    14,342x = 21,521.64 × 6,134
  4. Step 4: Simplify right side
    14,342x = 132,013,739.76
  5. Step 5: Solve for x
    x = 132,013,739.76/14,342
  6. Step 6: Final answer
    x = 9,204.70

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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.