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Finding the Fourth Proportional to 10,297.44, 14,210.79 and 6,210.39

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Solution

The fourth proportional to 10,297.44, 14,210.79 and 6,210.39 is: 8,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.44 : 14,210.79 = 6,210.39 : x
  2. Step 2: Convert to fraction form
    10,297.44/14,210.79 = 6,210.39/x
  3. Step 3: Cross multiply
    10,297.44x = 14,210.79 × 6,210.39
  4. Step 4: Simplify right side
    10,297.44x = 88,254,548.11
  5. Step 5: Solve for x
    x = 88,254,548.11/10,297.44
  6. Step 6: Final answer
    x = 8,570.53

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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.