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Finding the Fourth Proportional to 9,647.70, 14,472.63 and 3,071.58

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Solution

The fourth proportional to 9,647.70, 14,472.63 and 3,071.58 is: 4,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.70 : 14,472.63 = 3,071.58 : x
  2. Step 2: Convert to fraction form
    9,647.70/14,472.63 = 3,071.58/x
  3. Step 3: Cross multiply
    9,647.70x = 14,472.63 × 3,071.58
  4. Step 4: Simplify right side
    9,647.70x = 44,453,840.86
  5. Step 5: Solve for x
    x = 44,453,840.86/9,647.70
  6. Step 6: Final answer
    x = 4,607.71

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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.