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Finding the Fourth Proportional to 6,365, 8,783.71 and 3,570.50

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Solution

The fourth proportional to 6,365, 8,783.71 and 3,570.50 is: 4,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365 : 8,783.71 = 3,570.50 : x
  2. Step 2: Convert to fraction form
    6,365/8,783.71 = 3,570.50/x
  3. Step 3: Cross multiply
    6,365x = 8,783.71 × 3,570.50
  4. Step 4: Simplify right side
    6,365x = 31,362,236.56
  5. Step 5: Solve for x
    x = 31,362,236.56/6,365
  6. Step 6: Final answer
    x = 4,927.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.