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Finding the Fourth Proportional to 13,164, 19,746.12 and 4,956

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Solution

The fourth proportional to 13,164, 19,746.12 and 4,956 is: 7,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164 : 19,746.12 = 4,956 : x
  2. Step 2: Convert to fraction form
    13,164/19,746.12 = 4,956/x
  3. Step 3: Cross multiply
    13,164x = 19,746.12 × 4,956
  4. Step 4: Simplify right side
    13,164x = 97,861,770.72
  5. Step 5: Solve for x
    x = 97,861,770.72/13,164
  6. Step 6: Final answer
    x = 7,434.05

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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.