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Finding the Fourth Proportional to 9,999.54, 14,994 and 4,454.58

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Solution

The fourth proportional to 9,999.54, 14,994 and 4,454.58 is: 6,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.54 : 14,994 = 4,454.58 : x
  2. Step 2: Convert to fraction form
    9,999.54/14,994 = 4,454.58/x
  3. Step 3: Cross multiply
    9,999.54x = 14,994 × 4,454.58
  4. Step 4: Simplify right side
    9,999.54x = 66,791,972.52
  5. Step 5: Solve for x
    x = 66,791,972.52/9,999.54
  6. Step 6: Final answer
    x = 6,679.50

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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.