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Finding the Fourth Proportional to 9,607.10, 14,391.41 and 7,635.96

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Solution

The fourth proportional to 9,607.10, 14,391.41 and 7,635.96 is: 11,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.10 : 14,391.41 = 7,635.96 : x
  2. Step 2: Convert to fraction form
    9,607.10/14,391.41 = 7,635.96/x
  3. Step 3: Cross multiply
    9,607.10x = 14,391.41 × 7,635.96
  4. Step 4: Simplify right side
    9,607.10x = 109,892,192.92
  5. Step 5: Solve for x
    x = 109,892,192.92/9,607.10
  6. Step 6: Final answer
    x = 11,438.65

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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.