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Finding the Fourth Proportional to 10,053, 13,874.72 and 6,074.68

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Solution

The fourth proportional to 10,053, 13,874.72 and 6,074.68 is: 8,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053 : 13,874.72 = 6,074.68 : x
  2. Step 2: Convert to fraction form
    10,053/13,874.72 = 6,074.68/x
  3. Step 3: Cross multiply
    10,053x = 13,874.72 × 6,074.68
  4. Step 4: Simplify right side
    10,053x = 84,284,484.09
  5. Step 5: Solve for x
    x = 84,284,484.09/10,053
  6. Step 6: Final answer
    x = 8,384.01

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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.