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Finding the Fourth Proportional to 7,806.69, 11,703.84 and 4,516.07

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Solution

The fourth proportional to 7,806.69, 11,703.84 and 4,516.07 is: 6,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.69 : 11,703.84 = 4,516.07 : x
  2. Step 2: Convert to fraction form
    7,806.69/11,703.84 = 4,516.07/x
  3. Step 3: Cross multiply
    7,806.69x = 11,703.84 × 4,516.07
  4. Step 4: Simplify right side
    7,806.69x = 52,855,302.19
  5. Step 5: Solve for x
    x = 52,855,302.19/7,806.69
  6. Step 6: Final answer
    x = 6,770.51

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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.