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Finding the Fourth Proportional to 6,184.69, 8,534.90 and 3,700.69

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Solution

The fourth proportional to 6,184.69, 8,534.90 and 3,700.69 is: 5,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.69 : 8,534.90 = 3,700.69 : x
  2. Step 2: Convert to fraction form
    6,184.69/8,534.90 = 3,700.69/x
  3. Step 3: Cross multiply
    6,184.69x = 8,534.90 × 3,700.69
  4. Step 4: Simplify right side
    6,184.69x = 31,584,993.12
  5. Step 5: Solve for x
    x = 31,584,993.12/6,184.69
  6. Step 6: Final answer
    x = 5,106.97

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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.