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Finding the Fourth Proportional to 15,435, 23,153.64 and 6,201

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Solution

The fourth proportional to 15,435, 23,153.64 and 6,201 is: 9,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,435 : 23,153.64 = 6,201 : x
  2. Step 2: Convert to fraction form
    15,435/23,153.64 = 6,201/x
  3. Step 3: Cross multiply
    15,435x = 23,153.64 × 6,201
  4. Step 4: Simplify right side
    15,435x = 143,575,721.64
  5. Step 5: Solve for x
    x = 143,575,721.64/15,435
  6. Step 6: Final answer
    x = 9,301.96

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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.