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Finding the Fourth Proportional to 7,633.84, 11,436.91 and 7,606.16

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Solution

The fourth proportional to 7,633.84, 11,436.91 and 7,606.16 is: 11,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.84 : 11,436.91 = 7,606.16 : x
  2. Step 2: Convert to fraction form
    7,633.84/11,436.91 = 7,606.16/x
  3. Step 3: Cross multiply
    7,633.84x = 11,436.91 × 7,606.16
  4. Step 4: Simplify right side
    7,633.84x = 86,990,967.37
  5. Step 5: Solve for x
    x = 86,990,967.37/7,633.84
  6. Step 6: Final answer
    x = 11,395.44

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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.