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Finding the Fourth Proportional to 7,697.96, 10,616.10 and 5,044.40

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Solution

The fourth proportional to 7,697.96, 10,616.10 and 5,044.40 is: 6,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.96 : 10,616.10 = 5,044.40 : x
  2. Step 2: Convert to fraction form
    7,697.96/10,616.10 = 5,044.40/x
  3. Step 3: Cross multiply
    7,697.96x = 10,616.10 × 5,044.40
  4. Step 4: Simplify right side
    7,697.96x = 53,551,854.84
  5. Step 5: Solve for x
    x = 53,551,854.84/7,697.96
  6. Step 6: Final answer
    x = 6,956.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.