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Finding the Fourth Proportional to 6,830.56, 10,254.24 and 6,486.24

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Solution

The fourth proportional to 6,830.56, 10,254.24 and 6,486.24 is: 9,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.56 : 10,254.24 = 6,486.24 : x
  2. Step 2: Convert to fraction form
    6,830.56/10,254.24 = 6,486.24/x
  3. Step 3: Cross multiply
    6,830.56x = 10,254.24 × 6,486.24
  4. Step 4: Simplify right side
    6,830.56x = 66,511,461.66
  5. Step 5: Solve for x
    x = 66,511,461.66/6,830.56
  6. Step 6: Final answer
    x = 9,737.34

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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.