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Finding the Fourth Proportional to 4,095.06, 6,142.99 and 4,031.54

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Solution

The fourth proportional to 4,095.06, 6,142.99 and 4,031.54 is: 6,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.06 : 6,142.99 = 4,031.54 : x
  2. Step 2: Convert to fraction form
    4,095.06/6,142.99 = 4,031.54/x
  3. Step 3: Cross multiply
    4,095.06x = 6,142.99 × 4,031.54
  4. Step 4: Simplify right side
    4,095.06x = 24,765,709.90
  5. Step 5: Solve for x
    x = 24,765,709.90/4,095.06
  6. Step 6: Final answer
    x = 6,047.70

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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.