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Finding the Fourth Proportional to 7,004.98, 10,509.50 and 2,074.71

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Solution

The fourth proportional to 7,004.98, 10,509.50 and 2,074.71 is: 3,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.98 : 10,509.50 = 2,074.71 : x
  2. Step 2: Convert to fraction form
    7,004.98/10,509.50 = 2,074.71/x
  3. Step 3: Cross multiply
    7,004.98x = 10,509.50 × 2,074.71
  4. Step 4: Simplify right side
    7,004.98x = 21,804,197.67
  5. Step 5: Solve for x
    x = 21,804,197.67/7,004.98
  6. Step 6: Final answer
    x = 3,112.67

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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.