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Finding the Fourth Proportional to 9,153.89, 13,704.89 and 6,024.48

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Solution

The fourth proportional to 9,153.89, 13,704.89 and 6,024.48 is: 9,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.89 : 13,704.89 = 6,024.48 : x
  2. Step 2: Convert to fraction form
    9,153.89/13,704.89 = 6,024.48/x
  3. Step 3: Cross multiply
    9,153.89x = 13,704.89 × 6,024.48
  4. Step 4: Simplify right side
    9,153.89x = 82,564,805.58
  5. Step 5: Solve for x
    x = 82,564,805.58/9,153.89
  6. Step 6: Final answer
    x = 9,019.65

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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.