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Finding the Fourth Proportional to 10,077.84, 13,908.84 and 6,304.80

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Solution

The fourth proportional to 10,077.84, 13,908.84 and 6,304.80 is: 8,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.84 : 13,908.84 = 6,304.80 : x
  2. Step 2: Convert to fraction form
    10,077.84/13,908.84 = 6,304.80/x
  3. Step 3: Cross multiply
    10,077.84x = 13,908.84 × 6,304.80
  4. Step 4: Simplify right side
    10,077.84x = 87,692,454.43
  5. Step 5: Solve for x
    x = 87,692,454.43/10,077.84
  6. Step 6: Final answer
    x = 8,701.51

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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.