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Finding the Fourth Proportional to 9,143.84, 13,701.38 and 7,068.94

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Solution

The fourth proportional to 9,143.84, 13,701.38 and 7,068.94 is: 10,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.84 : 13,701.38 = 7,068.94 : x
  2. Step 2: Convert to fraction form
    9,143.84/13,701.38 = 7,068.94/x
  3. Step 3: Cross multiply
    9,143.84x = 13,701.38 × 7,068.94
  4. Step 4: Simplify right side
    9,143.84x = 96,854,163.54
  5. Step 5: Solve for x
    x = 96,854,163.54/9,143.84
  6. Step 6: Final answer
    x = 10,592.28

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1.5x scale

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.