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Finding the Fourth Proportional to 6,380.82, 8,805 and 3,547.95

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Solution

The fourth proportional to 6,380.82, 8,805 and 3,547.95 is: 4,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.82 : 8,805 = 3,547.95 : x
  2. Step 2: Convert to fraction form
    6,380.82/8,805 = 3,547.95/x
  3. Step 3: Cross multiply
    6,380.82x = 8,805 × 3,547.95
  4. Step 4: Simplify right side
    6,380.82x = 31,239,699.75
  5. Step 5: Solve for x
    x = 31,239,699.75/6,380.82
  6. Step 6: Final answer
    x = 4,895.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.