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Finding the Fourth Proportional to 4,892.17, 6,746.73 and 4,137.53

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Solution

The fourth proportional to 4,892.17, 6,746.73 and 4,137.53 is: 5,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.17 : 6,746.73 = 4,137.53 : x
  2. Step 2: Convert to fraction form
    4,892.17/6,746.73 = 4,137.53/x
  3. Step 3: Cross multiply
    4,892.17x = 6,746.73 × 4,137.53
  4. Step 4: Simplify right side
    4,892.17x = 27,914,802.41
  5. Step 5: Solve for x
    x = 27,914,802.41/4,892.17
  6. Step 6: Final answer
    x = 5,706.02

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1.5x scale

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.