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Finding the Fourth Proportional to 10,447.68, 14,410.38 and 6,915.69

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Solution

The fourth proportional to 10,447.68, 14,410.38 and 6,915.69 is: 9,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.68 : 14,410.38 = 6,915.69 : x
  2. Step 2: Convert to fraction form
    10,447.68/14,410.38 = 6,915.69/x
  3. Step 3: Cross multiply
    10,447.68x = 14,410.38 × 6,915.69
  4. Step 4: Simplify right side
    10,447.68x = 99,657,720.86
  5. Step 5: Solve for x
    x = 99,657,720.86/10,447.68
  6. Step 6: Final answer
    x = 9,538.74

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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.