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Finding the Fourth Proportional to 10,153.55, 14,022.90 and 6,975.24

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Solution

The fourth proportional to 10,153.55, 14,022.90 and 6,975.24 is: 9,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.55 : 14,022.90 = 6,975.24 : x
  2. Step 2: Convert to fraction form
    10,153.55/14,022.90 = 6,975.24/x
  3. Step 3: Cross multiply
    10,153.55x = 14,022.90 × 6,975.24
  4. Step 4: Simplify right side
    10,153.55x = 97,813,093.00
  5. Step 5: Solve for x
    x = 97,813,093.00/10,153.55
  6. Step 6: Final answer
    x = 9,633.39

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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.