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Finding the Fourth Proportional to 6,542.56, 9,804.24 and 5,159.28

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Solution

The fourth proportional to 6,542.56, 9,804.24 and 5,159.28 is: 7,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.56 : 9,804.24 = 5,159.28 : x
  2. Step 2: Convert to fraction form
    6,542.56/9,804.24 = 5,159.28/x
  3. Step 3: Cross multiply
    6,542.56x = 9,804.24 × 5,159.28
  4. Step 4: Simplify right side
    6,542.56x = 50,582,819.35
  5. Step 5: Solve for x
    x = 50,582,819.35/6,542.56
  6. Step 6: Final answer
    x = 7,731.35

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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.