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Finding the Fourth Proportional to 7,545, 11,317.50 and 2,073

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Solution

The fourth proportional to 7,545, 11,317.50 and 2,073 is: 3,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545 : 11,317.50 = 2,073 : x
  2. Step 2: Convert to fraction form
    7,545/11,317.50 = 2,073/x
  3. Step 3: Cross multiply
    7,545x = 11,317.50 × 2,073
  4. Step 4: Simplify right side
    7,545x = 23,461,177.50
  5. Step 5: Solve for x
    x = 23,461,177.50/7,545
  6. Step 6: Final answer
    x = 3,109.50

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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.