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Finding the Fourth Proportional to 7,004.70, 10,510.74 and 3,109.50

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Solution

The fourth proportional to 7,004.70, 10,510.74 and 3,109.50 is: 4,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.70 : 10,510.74 = 3,109.50 : x
  2. Step 2: Convert to fraction form
    7,004.70/10,510.74 = 3,109.50/x
  3. Step 3: Cross multiply
    7,004.70x = 10,510.74 × 3,109.50
  4. Step 4: Simplify right side
    7,004.70x = 32,683,146.03
  5. Step 5: Solve for x
    x = 32,683,146.03/7,004.70
  6. Step 6: Final answer
    x = 4,665.89

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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.