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Finding the Fourth Proportional to 6,490.17, 8,947.11 and 4,623.93

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Solution

The fourth proportional to 6,490.17, 8,947.11 and 4,623.93 is: 6,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.17 : 8,947.11 = 4,623.93 : x
  2. Step 2: Convert to fraction form
    6,490.17/8,947.11 = 4,623.93/x
  3. Step 3: Cross multiply
    6,490.17x = 8,947.11 × 4,623.93
  4. Step 4: Simplify right side
    6,490.17x = 41,370,810.34
  5. Step 5: Solve for x
    x = 41,370,810.34/6,490.17
  6. Step 6: Final answer
    x = 6,374.38

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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.