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Finding the Fourth Proportional to 6,533.76, 9,761.28 and 5,208.96

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Solution

The fourth proportional to 6,533.76, 9,761.28 and 5,208.96 is: 7,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.76 : 9,761.28 = 5,208.96 : x
  2. Step 2: Convert to fraction form
    6,533.76/9,761.28 = 5,208.96/x
  3. Step 3: Cross multiply
    6,533.76x = 9,761.28 × 5,208.96
  4. Step 4: Simplify right side
    6,533.76x = 50,846,117.07
  5. Step 5: Solve for x
    x = 50,846,117.07/6,533.76
  6. Step 6: Final answer
    x = 7,782.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.