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Finding the Fourth Proportional to 8,534.77, 11,777.95 and 4,757.89

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Solution

The fourth proportional to 8,534.77, 11,777.95 and 4,757.89 is: 6,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.77 : 11,777.95 = 4,757.89 : x
  2. Step 2: Convert to fraction form
    8,534.77/11,777.95 = 4,757.89/x
  3. Step 3: Cross multiply
    8,534.77x = 11,777.95 × 4,757.89
  4. Step 4: Simplify right side
    8,534.77x = 56,038,190.53
  5. Step 5: Solve for x
    x = 56,038,190.53/8,534.77
  6. Step 6: Final answer
    x = 6,565.87

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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.