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Finding the Fourth Proportional to 6,586.84, 9,073.38 and 5,264.92

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Solution

The fourth proportional to 6,586.84, 9,073.38 and 5,264.92 is: 7,252.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.84 : 9,073.38 = 5,264.92 : x
  2. Step 2: Convert to fraction form
    6,586.84/9,073.38 = 5,264.92/x
  3. Step 3: Cross multiply
    6,586.84x = 9,073.38 × 5,264.92
  4. Step 4: Simplify right side
    6,586.84x = 47,770,619.83
  5. Step 5: Solve for x
    x = 47,770,619.83/6,586.84
  6. Step 6: Final answer
    x = 7,252.43

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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.