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Finding the Fourth Proportional to 8,383.86, 11,569.12 and 4,847

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Solution

The fourth proportional to 8,383.86, 11,569.12 and 4,847 is: 6,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.86 : 11,569.12 = 4,847 : x
  2. Step 2: Convert to fraction form
    8,383.86/11,569.12 = 4,847/x
  3. Step 3: Cross multiply
    8,383.86x = 11,569.12 × 4,847
  4. Step 4: Simplify right side
    8,383.86x = 56,075,524.64
  5. Step 5: Solve for x
    x = 56,075,524.64/8,383.86
  6. Step 6: Final answer
    x = 6,688.51

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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.