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Finding the Fourth Proportional to 9,233.84, 13,913.08 and 7,626.39

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Solution

The fourth proportional to 9,233.84, 13,913.08 and 7,626.39 is: 11,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.84 : 13,913.08 = 7,626.39 : x
  2. Step 2: Convert to fraction form
    9,233.84/13,913.08 = 7,626.39/x
  3. Step 3: Cross multiply
    9,233.84x = 13,913.08 × 7,626.39
  4. Step 4: Simplify right side
    9,233.84x = 106,106,583.71
  5. Step 5: Solve for x
    x = 106,106,583.71/9,233.84
  6. Step 6: Final answer
    x = 11,491.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.