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Finding the Fourth Proportional to 7,801.70, 11,707.49 and 5,689.38

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Solution

The fourth proportional to 7,801.70, 11,707.49 and 5,689.38 is: 8,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.70 : 11,707.49 = 5,689.38 : x
  2. Step 2: Convert to fraction form
    7,801.70/11,707.49 = 5,689.38/x
  3. Step 3: Cross multiply
    7,801.70x = 11,707.49 × 5,689.38
  4. Step 4: Simplify right side
    7,801.70x = 66,608,359.46
  5. Step 5: Solve for x
    x = 66,608,359.46/7,801.70
  6. Step 6: Final answer
    x = 8,537.67

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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.