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Finding the Fourth Proportional to 7,697.84, 10,628.70 and 4,717.74

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Solution

The fourth proportional to 7,697.84, 10,628.70 and 4,717.74 is: 6,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.84 : 10,628.70 = 4,717.74 : x
  2. Step 2: Convert to fraction form
    7,697.84/10,628.70 = 4,717.74/x
  3. Step 3: Cross multiply
    7,697.84x = 10,628.70 × 4,717.74
  4. Step 4: Simplify right side
    7,697.84x = 50,143,443.14
  5. Step 5: Solve for x
    x = 50,143,443.14/7,697.84
  6. Step 6: Final answer
    x = 6,513.97

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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.