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Finding the Fourth Proportional to 7,138, 10,698.90 and 4,019.50

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Solution

The fourth proportional to 7,138, 10,698.90 and 4,019.50 is: 6,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 10,698.90 = 4,019.50 : x
  2. Step 2: Convert to fraction form
    7,138/10,698.90 = 4,019.50/x
  3. Step 3: Cross multiply
    7,138x = 10,698.90 × 4,019.50
  4. Step 4: Simplify right side
    7,138x = 43,004,228.55
  5. Step 5: Solve for x
    x = 43,004,228.55/7,138
  6. Step 6: Final answer
    x = 6,024.69

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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.