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Finding the Fourth Proportional to 9,694.56, 14,521.44 and 7,060.32

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Solution

The fourth proportional to 9,694.56, 14,521.44 and 7,060.32 is: 10,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.56 : 14,521.44 = 7,060.32 : x
  2. Step 2: Convert to fraction form
    9,694.56/14,521.44 = 7,060.32/x
  3. Step 3: Cross multiply
    9,694.56x = 14,521.44 × 7,060.32
  4. Step 4: Simplify right side
    9,694.56x = 102,526,013.26
  5. Step 5: Solve for x
    x = 102,526,013.26/9,694.56
  6. Step 6: Final answer
    x = 10,575.62

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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.