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Finding the Fourth Proportional to 7,817.65, 11,697.31 and 7,730.17

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Solution

The fourth proportional to 7,817.65, 11,697.31 and 7,730.17 is: 11,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.65 : 11,697.31 = 7,730.17 : x
  2. Step 2: Convert to fraction form
    7,817.65/11,697.31 = 7,730.17/x
  3. Step 3: Cross multiply
    7,817.65x = 11,697.31 × 7,730.17
  4. Step 4: Simplify right side
    7,817.65x = 90,422,194.84
  5. Step 5: Solve for x
    x = 90,422,194.84/7,817.65
  6. Step 6: Final answer
    x = 11,566.42

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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.