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Finding the Fourth Proportional to 9,935, 14,906.58 and 4,385.40

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Solution

The fourth proportional to 9,935, 14,906.58 and 4,385.40 is: 6,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935 : 14,906.58 = 4,385.40 : x
  2. Step 2: Convert to fraction form
    9,935/14,906.58 = 4,385.40/x
  3. Step 3: Cross multiply
    9,935x = 14,906.58 × 4,385.40
  4. Step 4: Simplify right side
    9,935x = 65,371,315.93
  5. Step 5: Solve for x
    x = 65,371,315.93/9,935
  6. Step 6: Final answer
    x = 6,579.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.