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Finding the Fourth Proportional to 10,671.74, 14,734.28 and 6,904.02

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Solution

The fourth proportional to 10,671.74, 14,734.28 and 6,904.02 is: 9,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.74 : 14,734.28 = 6,904.02 : x
  2. Step 2: Convert to fraction form
    10,671.74/14,734.28 = 6,904.02/x
  3. Step 3: Cross multiply
    10,671.74x = 14,734.28 × 6,904.02
  4. Step 4: Simplify right side
    10,671.74x = 101,725,781.07
  5. Step 5: Solve for x
    x = 101,725,781.07/10,671.74
  6. Step 6: Final answer
    x = 9,532.26

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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.