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Finding the Fourth Proportional to 6,089.70, 8,392.74 and 4,515.06

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Solution

The fourth proportional to 6,089.70, 8,392.74 and 4,515.06 is: 6,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.70 : 8,392.74 = 4,515.06 : x
  2. Step 2: Convert to fraction form
    6,089.70/8,392.74 = 4,515.06/x
  3. Step 3: Cross multiply
    6,089.70x = 8,392.74 × 4,515.06
  4. Step 4: Simplify right side
    6,089.70x = 37,893,724.66
  5. Step 5: Solve for x
    x = 37,893,724.66/6,089.70
  6. Step 6: Final answer
    x = 6,222.59

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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.