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Finding the Fourth Proportional to 7,705.66, 11,556.16 and 4,005.86

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Solution

The fourth proportional to 7,705.66, 11,556.16 and 4,005.86 is: 6,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.66 : 11,556.16 = 4,005.86 : x
  2. Step 2: Convert to fraction form
    7,705.66/11,556.16 = 4,005.86/x
  3. Step 3: Cross multiply
    7,705.66x = 11,556.16 × 4,005.86
  4. Step 4: Simplify right side
    7,705.66x = 46,292,339.07
  5. Step 5: Solve for x
    x = 46,292,339.07/7,705.66
  6. Step 6: Final answer
    x = 6,007.58

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1.5x scale

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.