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Finding the Fourth Proportional to 6,821.40, 10,232.10 and 6,772.80

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Solution

The fourth proportional to 6,821.40, 10,232.10 and 6,772.80 is: 10,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.40 : 10,232.10 = 6,772.80 : x
  2. Step 2: Convert to fraction form
    6,821.40/10,232.10 = 6,772.80/x
  3. Step 3: Cross multiply
    6,821.40x = 10,232.10 × 6,772.80
  4. Step 4: Simplify right side
    6,821.40x = 69,299,966.88
  5. Step 5: Solve for x
    x = 69,299,966.88/6,821.40
  6. Step 6: Final answer
    x = 10,159.20

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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.