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Finding the Fourth Proportional to 4,671.84, 6,447.24 and 2,682.22

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Solution

The fourth proportional to 4,671.84, 6,447.24 and 2,682.22 is: 3,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.84 : 6,447.24 = 2,682.22 : x
  2. Step 2: Convert to fraction form
    4,671.84/6,447.24 = 2,682.22/x
  3. Step 3: Cross multiply
    4,671.84x = 6,447.24 × 2,682.22
  4. Step 4: Simplify right side
    4,671.84x = 17,292,916.07
  5. Step 5: Solve for x
    x = 17,292,916.07/4,671.84
  6. Step 6: Final answer
    x = 3,701.52

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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.