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Finding the Fourth Proportional to 8,101, 11,180.19 and 4,956.58

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Solution

The fourth proportional to 8,101, 11,180.19 and 4,956.58 is: 6,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101 : 11,180.19 = 4,956.58 : x
  2. Step 2: Convert to fraction form
    8,101/11,180.19 = 4,956.58/x
  3. Step 3: Cross multiply
    8,101x = 11,180.19 × 4,956.58
  4. Step 4: Simplify right side
    8,101x = 55,415,506.15
  5. Step 5: Solve for x
    x = 55,415,506.15/8,101
  6. Step 6: Final answer
    x = 6,840.58

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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.