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Finding the Fourth Proportional to 6,278, 8,663.82 and 3,483.68

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Solution

The fourth proportional to 6,278, 8,663.82 and 3,483.68 is: 4,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278 : 8,663.82 = 3,483.68 : x
  2. Step 2: Convert to fraction form
    6,278/8,663.82 = 3,483.68/x
  3. Step 3: Cross multiply
    6,278x = 8,663.82 × 3,483.68
  4. Step 4: Simplify right side
    6,278x = 30,181,976.46
  5. Step 5: Solve for x
    x = 30,181,976.46/6,278
  6. Step 6: Final answer
    x = 4,807.58

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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.