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Finding the Fourth Proportional to 12,570.90, 18,845.19 and 6,322.74

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Solution

The fourth proportional to 12,570.90, 18,845.19 and 6,322.74 is: 9,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.90 : 18,845.19 = 6,322.74 : x
  2. Step 2: Convert to fraction form
    12,570.90/18,845.19 = 6,322.74/x
  3. Step 3: Cross multiply
    12,570.90x = 18,845.19 × 6,322.74
  4. Step 4: Simplify right side
    12,570.90x = 119,153,236.62
  5. Step 5: Solve for x
    x = 119,153,236.62/12,570.90
  6. Step 6: Final answer
    x = 9,478.50

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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.