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Finding the Fourth Proportional to 7,751, 11,633.74 and 6,030.52

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Solution

The fourth proportional to 7,751, 11,633.74 and 6,030.52 is: 9,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751 : 11,633.74 = 6,030.52 : x
  2. Step 2: Convert to fraction form
    7,751/11,633.74 = 6,030.52/x
  3. Step 3: Cross multiply
    7,751x = 11,633.74 × 6,030.52
  4. Step 4: Simplify right side
    7,751x = 70,157,501.74
  5. Step 5: Solve for x
    x = 70,157,501.74/7,751
  6. Step 6: Final answer
    x = 9,051.41

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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.