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Finding the Fourth Proportional to 7,631.84, 11,433.92 and 7,604.16

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Solution

The fourth proportional to 7,631.84, 11,433.92 and 7,604.16 is: 11,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.84 : 11,433.92 = 7,604.16 : x
  2. Step 2: Convert to fraction form
    7,631.84/11,433.92 = 7,604.16/x
  3. Step 3: Cross multiply
    7,631.84x = 11,433.92 × 7,604.16
  4. Step 4: Simplify right side
    7,631.84x = 86,945,319.09
  5. Step 5: Solve for x
    x = 86,945,319.09/7,631.84
  6. Step 6: Final answer
    x = 11,392.45

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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.