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Finding the Fourth Proportional to 6,712.06, 10,068.12 and 1,781.74

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Solution

The fourth proportional to 6,712.06, 10,068.12 and 1,781.74 is: 2,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.06 : 10,068.12 = 1,781.74 : x
  2. Step 2: Convert to fraction form
    6,712.06/10,068.12 = 1,781.74/x
  3. Step 3: Cross multiply
    6,712.06x = 10,068.12 × 1,781.74
  4. Step 4: Simplify right side
    6,712.06x = 17,938,772.13
  5. Step 5: Solve for x
    x = 17,938,772.13/6,712.06
  6. Step 6: Final answer
    x = 2,672.62

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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.