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Finding the Fourth Proportional to 9,616.72, 14,423.64 and 7,983.76

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Solution

The fourth proportional to 9,616.72, 14,423.64 and 7,983.76 is: 11,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.72 : 14,423.64 = 7,983.76 : x
  2. Step 2: Convert to fraction form
    9,616.72/14,423.64 = 7,983.76/x
  3. Step 3: Cross multiply
    9,616.72x = 14,423.64 × 7,983.76
  4. Step 4: Simplify right side
    9,616.72x = 115,154,880.09
  5. Step 5: Solve for x
    x = 115,154,880.09/9,616.72
  6. Step 6: Final answer
    x = 11,974.44

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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.