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Finding the Fourth Proportional to 11,630, 16,049.40 and 6,594.32

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Solution

The fourth proportional to 11,630, 16,049.40 and 6,594.32 is: 9,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630 : 16,049.40 = 6,594.32 : x
  2. Step 2: Convert to fraction form
    11,630/16,049.40 = 6,594.32/x
  3. Step 3: Cross multiply
    11,630x = 16,049.40 × 6,594.32
  4. Step 4: Simplify right side
    11,630x = 105,834,879.41
  5. Step 5: Solve for x
    x = 105,834,879.41/11,630
  6. Step 6: Final answer
    x = 9,100.16

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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.