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Finding the Fourth Proportional to 10,485.35, 14,470.38 and 6,009.85

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Solution

The fourth proportional to 10,485.35, 14,470.38 and 6,009.85 is: 8,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.35 : 14,470.38 = 6,009.85 : x
  2. Step 2: Convert to fraction form
    10,485.35/14,470.38 = 6,009.85/x
  3. Step 3: Cross multiply
    10,485.35x = 14,470.38 × 6,009.85
  4. Step 4: Simplify right side
    10,485.35x = 86,964,749.94
  5. Step 5: Solve for x
    x = 86,964,749.94/10,485.35
  6. Step 6: Final answer
    x = 8,293.93

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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.