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Finding the Fourth Proportional to 5,663.63, 7,815.81 and 3,145.67

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Solution

The fourth proportional to 5,663.63, 7,815.81 and 3,145.67 is: 4,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.63 : 7,815.81 = 3,145.67 : x
  2. Step 2: Convert to fraction form
    5,663.63/7,815.81 = 3,145.67/x
  3. Step 3: Cross multiply
    5,663.63x = 7,815.81 × 3,145.67
  4. Step 4: Simplify right side
    5,663.63x = 24,585,956.65
  5. Step 5: Solve for x
    x = 24,585,956.65/5,663.63
  6. Step 6: Final answer
    x = 4,341.03

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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.