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Finding the Fourth Proportional to 5,565.99, 7,682.07 and 4,156.74

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Solution

The fourth proportional to 5,565.99, 7,682.07 and 4,156.74 is: 5,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.99 : 7,682.07 = 4,156.74 : x
  2. Step 2: Convert to fraction form
    5,565.99/7,682.07 = 4,156.74/x
  3. Step 3: Cross multiply
    5,565.99x = 7,682.07 × 4,156.74
  4. Step 4: Simplify right side
    5,565.99x = 31,932,369.77
  5. Step 5: Solve for x
    x = 31,932,369.77/5,565.99
  6. Step 6: Final answer
    x = 5,737.05

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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.