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Finding the Fourth Proportional to 5,042.76, 6,959 and 2,834.76

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Solution

The fourth proportional to 5,042.76, 6,959 and 2,834.76 is: 3,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.76 : 6,959 = 2,834.76 : x
  2. Step 2: Convert to fraction form
    5,042.76/6,959 = 2,834.76/x
  3. Step 3: Cross multiply
    5,042.76x = 6,959 × 2,834.76
  4. Step 4: Simplify right side
    5,042.76x = 19,727,094.84
  5. Step 5: Solve for x
    x = 19,727,094.84/5,042.76
  6. Step 6: Final answer
    x = 3,911.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.