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Finding the Fourth Proportional to 6,042.56, 8,341.34 and 5,664.29

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Solution

The fourth proportional to 6,042.56, 8,341.34 and 5,664.29 is: 7,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.56 : 8,341.34 = 5,664.29 : x
  2. Step 2: Convert to fraction form
    6,042.56/8,341.34 = 5,664.29/x
  3. Step 3: Cross multiply
    6,042.56x = 8,341.34 × 5,664.29
  4. Step 4: Simplify right side
    6,042.56x = 47,247,698.72
  5. Step 5: Solve for x
    x = 47,247,698.72/6,042.56
  6. Step 6: Final answer
    x = 7,819.16

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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.