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Finding the Fourth Proportional to 6,095.54, 9,142.28 and 1,711.97

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Solution

The fourth proportional to 6,095.54, 9,142.28 and 1,711.97 is: 2,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.54 : 9,142.28 = 1,711.97 : x
  2. Step 2: Convert to fraction form
    6,095.54/9,142.28 = 1,711.97/x
  3. Step 3: Cross multiply
    6,095.54x = 9,142.28 × 1,711.97
  4. Step 4: Simplify right side
    6,095.54x = 15,651,305.15
  5. Step 5: Solve for x
    x = 15,651,305.15/6,095.54
  6. Step 6: Final answer
    x = 2,567.67

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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.