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Finding the Fourth Proportional to 7,707.64, 11,566.50 and 3,091

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Solution

The fourth proportional to 7,707.64, 11,566.50 and 3,091 is: 4,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.64 : 11,566.50 = 3,091 : x
  2. Step 2: Convert to fraction form
    7,707.64/11,566.50 = 3,091/x
  3. Step 3: Cross multiply
    7,707.64x = 11,566.50 × 3,091
  4. Step 4: Simplify right side
    7,707.64x = 35,752,051.50
  5. Step 5: Solve for x
    x = 35,752,051.50/7,707.64
  6. Step 6: Final answer
    x = 4,638.52

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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.