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Finding the Fourth Proportional to 6,114.81, 8,437.99 and 3,461.71

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Solution

The fourth proportional to 6,114.81, 8,437.99 and 3,461.71 is: 4,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.81 : 8,437.99 = 3,461.71 : x
  2. Step 2: Convert to fraction form
    6,114.81/8,437.99 = 3,461.71/x
  3. Step 3: Cross multiply
    6,114.81x = 8,437.99 × 3,461.71
  4. Step 4: Simplify right side
    6,114.81x = 29,209,874.36
  5. Step 5: Solve for x
    x = 29,209,874.36/6,114.81
  6. Step 6: Final answer
    x = 4,776.91

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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.