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Finding the Fourth Proportional to 9,207, 13,810.50 and 3,051

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Solution

The fourth proportional to 9,207, 13,810.50 and 3,051 is: 4,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207 : 13,810.50 = 3,051 : x
  2. Step 2: Convert to fraction form
    9,207/13,810.50 = 3,051/x
  3. Step 3: Cross multiply
    9,207x = 13,810.50 × 3,051
  4. Step 4: Simplify right side
    9,207x = 42,135,835.50
  5. Step 5: Solve for x
    x = 42,135,835.50/9,207
  6. Step 6: Final answer
    x = 4,576.50

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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.