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Finding the Fourth Proportional to 6,093.00, 9,139.46 and 1,710.46

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Solution

The fourth proportional to 6,093.00, 9,139.46 and 1,710.46 is: 2,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.00 : 9,139.46 = 1,710.46 : x
  2. Step 2: Convert to fraction form
    6,093.00/9,139.46 = 1,710.46/x
  3. Step 3: Cross multiply
    6,093.00x = 9,139.46 × 1,710.46
  4. Step 4: Simplify right side
    6,093.00x = 15,632,626.50
  5. Step 5: Solve for x
    x = 15,632,626.50/6,093.00
  6. Step 6: Final answer
    x = 2,565.67

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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.