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Finding the Fourth Proportional to 7,019, 9,686.76 and 4,035.77

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Solution

The fourth proportional to 7,019, 9,686.76 and 4,035.77 is: 5,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019 : 9,686.76 = 4,035.77 : x
  2. Step 2: Convert to fraction form
    7,019/9,686.76 = 4,035.77/x
  3. Step 3: Cross multiply
    7,019x = 9,686.76 × 4,035.77
  4. Step 4: Simplify right side
    7,019x = 39,093,535.41
  5. Step 5: Solve for x
    x = 39,093,535.41/7,019
  6. Step 6: Final answer
    x = 5,569.67

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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.