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Finding the Fourth Proportional to 6,594.93, 9,892.58 and 1,977.93

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Solution

The fourth proportional to 6,594.93, 9,892.58 and 1,977.93 is: 2,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.93 : 9,892.58 = 1,977.93 : x
  2. Step 2: Convert to fraction form
    6,594.93/9,892.58 = 1,977.93/x
  3. Step 3: Cross multiply
    6,594.93x = 9,892.58 × 1,977.93
  4. Step 4: Simplify right side
    6,594.93x = 19,566,820.87
  5. Step 5: Solve for x
    x = 19,566,820.87/6,594.93
  6. Step 6: Final answer
    x = 2,966.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.