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Finding the Fourth Proportional to 11,828.86, 16,323.93 and 6,523.86

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Solution

The fourth proportional to 11,828.86, 16,323.93 and 6,523.86 is: 9,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.86 : 16,323.93 = 6,523.86 : x
  2. Step 2: Convert to fraction form
    11,828.86/16,323.93 = 6,523.86/x
  3. Step 3: Cross multiply
    11,828.86x = 16,323.93 × 6,523.86
  4. Step 4: Simplify right side
    11,828.86x = 106,495,033.97
  5. Step 5: Solve for x
    x = 106,495,033.97/11,828.86
  6. Step 6: Final answer
    x = 9,002.98

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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.