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Finding the Fourth Proportional to 6,533.16, 9,777.86 and 5,363.11

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Solution

The fourth proportional to 6,533.16, 9,777.86 and 5,363.11 is: 8,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.16 : 9,777.86 = 5,363.11 : x
  2. Step 2: Convert to fraction form
    6,533.16/9,777.86 = 5,363.11/x
  3. Step 3: Cross multiply
    6,533.16x = 9,777.86 × 5,363.11
  4. Step 4: Simplify right side
    6,533.16x = 52,439,738.74
  5. Step 5: Solve for x
    x = 52,439,738.74/6,533.16
  6. Step 6: Final answer
    x = 8,026.71

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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.