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Finding the Fourth Proportional to 9,728.01, 14,611.82 and 8,583.93

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Solution

The fourth proportional to 9,728.01, 14,611.82 and 8,583.93 is: 12,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.01 : 14,611.82 = 8,583.93 : x
  2. Step 2: Convert to fraction form
    9,728.01/14,611.82 = 8,583.93/x
  3. Step 3: Cross multiply
    9,728.01x = 14,611.82 × 8,583.93
  4. Step 4: Simplify right side
    9,728.01x = 125,426,797.13
  5. Step 5: Solve for x
    x = 125,426,797.13/9,728.01
  6. Step 6: Final answer
    x = 12,893.37

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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.