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Finding the Fourth Proportional to 6,092.65, 8,407.80 and 3,440.00

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Solution

The fourth proportional to 6,092.65, 8,407.80 and 3,440.00 is: 4,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.65 : 8,407.80 = 3,440.00 : x
  2. Step 2: Convert to fraction form
    6,092.65/8,407.80 = 3,440.00/x
  3. Step 3: Cross multiply
    6,092.65x = 8,407.80 × 3,440.00
  4. Step 4: Simplify right side
    6,092.65x = 28,922,853.02
  5. Step 5: Solve for x
    x = 28,922,853.02/6,092.65
  6. Step 6: Final answer
    x = 4,747.17

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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.