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Finding the Fourth Proportional to 10,337.76, 14,269.82 and 6,146

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Solution

The fourth proportional to 10,337.76, 14,269.82 and 6,146 is: 8,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.76 : 14,269.82 = 6,146 : x
  2. Step 2: Convert to fraction form
    10,337.76/14,269.82 = 6,146/x
  3. Step 3: Cross multiply
    10,337.76x = 14,269.82 × 6,146
  4. Step 4: Simplify right side
    10,337.76x = 87,702,313.72
  5. Step 5: Solve for x
    x = 87,702,313.72/10,337.76
  6. Step 6: Final answer
    x = 8,483.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.