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Finding the Fourth Proportional to 14,834.88, 22,237.68 and 8,264.16

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Solution

The fourth proportional to 14,834.88, 22,237.68 and 8,264.16 is: 12,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.88 : 22,237.68 = 8,264.16 : x
  2. Step 2: Convert to fraction form
    14,834.88/22,237.68 = 8,264.16/x
  3. Step 3: Cross multiply
    14,834.88x = 22,237.68 × 8,264.16
  4. Step 4: Simplify right side
    14,834.88x = 183,775,745.55
  5. Step 5: Solve for x
    x = 183,775,745.55/14,834.88
  6. Step 6: Final answer
    x = 12,388.08

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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.