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Finding the Fourth Proportional to 13,233, 18,264.84 and 7,647.24

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Solution

The fourth proportional to 13,233, 18,264.84 and 7,647.24 is: 10,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233 : 18,264.84 = 7,647.24 : x
  2. Step 2: Convert to fraction form
    13,233/18,264.84 = 7,647.24/x
  3. Step 3: Cross multiply
    13,233x = 18,264.84 × 7,647.24
  4. Step 4: Simplify right side
    13,233x = 139,675,615.04
  5. Step 5: Solve for x
    x = 139,675,615.04/13,233
  6. Step 6: Final answer
    x = 10,555.10

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1.5x scale

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.