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Finding the Fourth Proportional to 8,533.92, 11,776.82 and 4,757.00

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Solution

The fourth proportional to 8,533.92, 11,776.82 and 4,757.00 is: 6,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.92 : 11,776.82 = 4,757.00 : x
  2. Step 2: Convert to fraction form
    8,533.92/11,776.82 = 4,757.00/x
  3. Step 3: Cross multiply
    8,533.92x = 11,776.82 × 4,757.00
  4. Step 4: Simplify right side
    8,533.92x = 56,022,250.07
  5. Step 5: Solve for x
    x = 56,022,250.07/8,533.92
  6. Step 6: Final answer
    x = 6,564.66

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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.