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Finding the Fourth Proportional to 10,484.06, 14,452.35 and 6,941.12

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Solution

The fourth proportional to 10,484.06, 14,452.35 and 6,941.12 is: 9,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.06 : 14,452.35 = 6,941.12 : x
  2. Step 2: Convert to fraction form
    10,484.06/14,452.35 = 6,941.12/x
  3. Step 3: Cross multiply
    10,484.06x = 14,452.35 × 6,941.12
  4. Step 4: Simplify right side
    10,484.06x = 100,315,495.63
  5. Step 5: Solve for x
    x = 100,315,495.63/10,484.06
  6. Step 6: Final answer
    x = 9,568.38

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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.