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Finding the Fourth Proportional to 6,583.52, 9,817.22 and 6,524.26

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Solution

The fourth proportional to 6,583.52, 9,817.22 and 6,524.26 is: 9,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.52 : 9,817.22 = 6,524.26 : x
  2. Step 2: Convert to fraction form
    6,583.52/9,817.22 = 6,524.26/x
  3. Step 3: Cross multiply
    6,583.52x = 9,817.22 × 6,524.26
  4. Step 4: Simplify right side
    6,583.52x = 64,050,095.76
  5. Step 5: Solve for x
    x = 64,050,095.76/6,583.52
  6. Step 6: Final answer
    x = 9,728.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.