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Finding the Fourth Proportional to 8,097.84, 12,141 and 6,539.76

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Solution

The fourth proportional to 8,097.84, 12,141 and 6,539.76 is: 9,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.84 : 12,141 = 6,539.76 : x
  2. Step 2: Convert to fraction form
    8,097.84/12,141 = 6,539.76/x
  3. Step 3: Cross multiply
    8,097.84x = 12,141 × 6,539.76
  4. Step 4: Simplify right side
    8,097.84x = 79,399,226.16
  5. Step 5: Solve for x
    x = 79,399,226.16/8,097.84
  6. Step 6: Final answer
    x = 9,804.99

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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.