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Finding the Fourth Proportional to 6,088.86, 9,133.83 and 1,706.37

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Solution

The fourth proportional to 6,088.86, 9,133.83 and 1,706.37 is: 2,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.86 : 9,133.83 = 1,706.37 : x
  2. Step 2: Convert to fraction form
    6,088.86/9,133.83 = 1,706.37/x
  3. Step 3: Cross multiply
    6,088.86x = 9,133.83 × 1,706.37
  4. Step 4: Simplify right side
    6,088.86x = 15,585,693.50
  5. Step 5: Solve for x
    x = 15,585,693.50/6,088.86
  6. Step 6: Final answer
    x = 2,559.71

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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.