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Finding the Fourth Proportional to 7,671.97, 11,521.82 and 7,054.55

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Solution

The fourth proportional to 7,671.97, 11,521.82 and 7,054.55 is: 10,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.97 : 11,521.82 = 7,054.55 : x
  2. Step 2: Convert to fraction form
    7,671.97/11,521.82 = 7,054.55/x
  3. Step 3: Cross multiply
    7,671.97x = 11,521.82 × 7,054.55
  4. Step 4: Simplify right side
    7,671.97x = 81,281,215.31
  5. Step 5: Solve for x
    x = 81,281,215.31/7,671.97
  6. Step 6: Final answer
    x = 10,594.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.