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Finding the Fourth Proportional to 12,712.25, 19,068.51 and 3,478.25

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Solution

The fourth proportional to 12,712.25, 19,068.51 and 3,478.25 is: 5,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.25 : 19,068.51 = 3,478.25 : x
  2. Step 2: Convert to fraction form
    12,712.25/19,068.51 = 3,478.25/x
  3. Step 3: Cross multiply
    12,712.25x = 19,068.51 × 3,478.25
  4. Step 4: Simplify right side
    12,712.25x = 66,325,044.91
  5. Step 5: Solve for x
    x = 66,325,044.91/12,712.25
  6. Step 6: Final answer
    x = 5,217.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.