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Finding the Fourth Proportional to 6,411.63, 8,848.06 and 3,617.13

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Solution

The fourth proportional to 6,411.63, 8,848.06 and 3,617.13 is: 4,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.63 : 8,848.06 = 3,617.13 : x
  2. Step 2: Convert to fraction form
    6,411.63/8,848.06 = 3,617.13/x
  3. Step 3: Cross multiply
    6,411.63x = 8,848.06 × 3,617.13
  4. Step 4: Simplify right side
    6,411.63x = 32,004,520.94
  5. Step 5: Solve for x
    x = 32,004,520.94/6,411.63
  6. Step 6: Final answer
    x = 4,991.64

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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.