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Finding the Fourth Proportional to 7,598.58, 11,396.94 and 2,051.50

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Solution

The fourth proportional to 7,598.58, 11,396.94 and 2,051.50 is: 3,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.58 : 11,396.94 = 2,051.50 : x
  2. Step 2: Convert to fraction form
    7,598.58/11,396.94 = 2,051.50/x
  3. Step 3: Cross multiply
    7,598.58x = 11,396.94 × 2,051.50
  4. Step 4: Simplify right side
    7,598.58x = 23,380,822.41
  5. Step 5: Solve for x
    x = 23,380,822.41/7,598.58
  6. Step 6: Final answer
    x = 3,077.00

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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.