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Finding the Fourth Proportional to 10,465.67, 14,449.38 and 6,491

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Solution

The fourth proportional to 10,465.67, 14,449.38 and 6,491 is: 8,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.67 : 14,449.38 = 6,491 : x
  2. Step 2: Convert to fraction form
    10,465.67/14,449.38 = 6,491/x
  3. Step 3: Cross multiply
    10,465.67x = 14,449.38 × 6,491
  4. Step 4: Simplify right side
    10,465.67x = 93,790,925.58
  5. Step 5: Solve for x
    x = 93,790,925.58/10,465.67
  6. Step 6: Final answer
    x = 8,961.77

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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.