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Finding the Fourth Proportional to 7,663.69, 10,574.51 and 4,306.65

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Solution

The fourth proportional to 7,663.69, 10,574.51 and 4,306.65 is: 5,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.69 : 10,574.51 = 4,306.65 : x
  2. Step 2: Convert to fraction form
    7,663.69/10,574.51 = 4,306.65/x
  3. Step 3: Cross multiply
    7,663.69x = 10,574.51 × 4,306.65
  4. Step 4: Simplify right side
    7,663.69x = 45,540,713.49
  5. Step 5: Solve for x
    x = 45,540,713.49/7,663.69
  6. Step 6: Final answer
    x = 5,942.40

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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.