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Finding the Fourth Proportional to 6,199.50, 8,555.67 and 3,547.74

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Solution

The fourth proportional to 6,199.50, 8,555.67 and 3,547.74 is: 4,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.50 : 8,555.67 = 3,547.74 : x
  2. Step 2: Convert to fraction form
    6,199.50/8,555.67 = 3,547.74/x
  3. Step 3: Cross multiply
    6,199.50x = 8,555.67 × 3,547.74
  4. Step 4: Simplify right side
    6,199.50x = 30,353,292.69
  5. Step 5: Solve for x
    x = 30,353,292.69/6,199.50
  6. Step 6: Final answer
    x = 4,896.09

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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.