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Finding the Fourth Proportional to 6,522.65, 9,783.96 and 2,362.64

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Solution

The fourth proportional to 6,522.65, 9,783.96 and 2,362.64 is: 3,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.65 : 9,783.96 = 2,362.64 : x
  2. Step 2: Convert to fraction form
    6,522.65/9,783.96 = 2,362.64/x
  3. Step 3: Cross multiply
    6,522.65x = 9,783.96 × 2,362.64
  4. Step 4: Simplify right side
    6,522.65x = 23,115,975.25
  5. Step 5: Solve for x
    x = 23,115,975.25/6,522.65
  6. Step 6: Final answer
    x = 3,543.95

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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.