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Finding the Fourth Proportional to 10,853.58, 14,976.74 and 6,378.74

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Solution

The fourth proportional to 10,853.58, 14,976.74 and 6,378.74 is: 8,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.58 : 14,976.74 = 6,378.74 : x
  2. Step 2: Convert to fraction form
    10,853.58/14,976.74 = 6,378.74/x
  3. Step 3: Cross multiply
    10,853.58x = 14,976.74 × 6,378.74
  4. Step 4: Simplify right side
    10,853.58x = 95,532,623.73
  5. Step 5: Solve for x
    x = 95,532,623.73/10,853.58
  6. Step 6: Final answer
    x = 8,801.95

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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.