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Finding the Fourth Proportional to 8,289.64, 11,443.24 and 4,932.77

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Solution

The fourth proportional to 8,289.64, 11,443.24 and 4,932.77 is: 6,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.64 : 11,443.24 = 4,932.77 : x
  2. Step 2: Convert to fraction form
    8,289.64/11,443.24 = 4,932.77/x
  3. Step 3: Cross multiply
    8,289.64x = 11,443.24 × 4,932.77
  4. Step 4: Simplify right side
    8,289.64x = 56,446,813.76
  5. Step 5: Solve for x
    x = 56,446,813.76/8,289.64
  6. Step 6: Final answer
    x = 6,809.32

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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.