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Finding the Fourth Proportional to 9,647.42, 14,472.16 and 3,072.06

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Solution

The fourth proportional to 9,647.42, 14,472.16 and 3,072.06 is: 4,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.42 : 14,472.16 = 3,072.06 : x
  2. Step 2: Convert to fraction form
    9,647.42/14,472.16 = 3,072.06/x
  3. Step 3: Cross multiply
    9,647.42x = 14,472.16 × 3,072.06
  4. Step 4: Simplify right side
    9,647.42x = 44,459,343.85
  5. Step 5: Solve for x
    x = 44,459,343.85/9,647.42
  6. Step 6: Final answer
    x = 4,608.42

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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.