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Finding the Fourth Proportional to 6,088.50, 9,133.20 and 1,705.79

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Solution

The fourth proportional to 6,088.50, 9,133.20 and 1,705.79 is: 2,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,088.50 : 9,133.20 = 1,705.79 : x
  2. Step 2: Convert to fraction form
    6,088.50/9,133.20 = 1,705.79/x
  3. Step 3: Cross multiply
    6,088.50x = 9,133.20 × 1,705.79
  4. Step 4: Simplify right side
    6,088.50x = 15,579,344.06
  5. Step 5: Solve for x
    x = 15,579,344.06/6,088.50
  6. Step 6: Final answer
    x = 2,558.81

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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.