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Finding the Fourth Proportional to 7,509, 11,263.52 and 2,037

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Solution

The fourth proportional to 7,509, 11,263.52 and 2,037 is: 3,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 11,263.52 = 2,037 : x
  2. Step 2: Convert to fraction form
    7,509/11,263.52 = 2,037/x
  3. Step 3: Cross multiply
    7,509x = 11,263.52 × 2,037
  4. Step 4: Simplify right side
    7,509x = 22,943,790.24
  5. Step 5: Solve for x
    x = 22,943,790.24/7,509
  6. Step 6: Final answer
    x = 3,055.51

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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.