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Finding the Fourth Proportional to 6,805.76, 9,393.92 and 4,116.98

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Solution

The fourth proportional to 6,805.76, 9,393.92 and 4,116.98 is: 5,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.76 : 9,393.92 = 4,116.98 : x
  2. Step 2: Convert to fraction form
    6,805.76/9,393.92 = 4,116.98/x
  3. Step 3: Cross multiply
    6,805.76x = 9,393.92 × 4,116.98
  4. Step 4: Simplify right side
    6,805.76x = 38,674,580.76
  5. Step 5: Solve for x
    x = 38,674,580.76/6,805.76
  6. Step 6: Final answer
    x = 5,682.62

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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.