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Finding the Fourth Proportional to 6,482.63, 9,724.49 and 1,865.63

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Solution

The fourth proportional to 6,482.63, 9,724.49 and 1,865.63 is: 2,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.63 : 9,724.49 = 1,865.63 : x
  2. Step 2: Convert to fraction form
    6,482.63/9,724.49 = 1,865.63/x
  3. Step 3: Cross multiply
    6,482.63x = 9,724.49 × 1,865.63
  4. Step 4: Simplify right side
    6,482.63x = 18,142,242.33
  5. Step 5: Solve for x
    x = 18,142,242.33/6,482.63
  6. Step 6: Final answer
    x = 2,798.60

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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.