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Finding the Fourth Proportional to 6,809.29, 10,213 and 1,878.22

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Solution

The fourth proportional to 6,809.29, 10,213 and 1,878.22 is: 2,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.29 : 10,213 = 1,878.22 : x
  2. Step 2: Convert to fraction form
    6,809.29/10,213 = 1,878.22/x
  3. Step 3: Cross multiply
    6,809.29x = 10,213 × 1,878.22
  4. Step 4: Simplify right side
    6,809.29x = 19,182,260.86
  5. Step 5: Solve for x
    x = 19,182,260.86/6,809.29
  6. Step 6: Final answer
    x = 2,817.07

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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.