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Finding the Fourth Proportional to 9,114.50, 13,671.76 and 2,189

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Solution

The fourth proportional to 9,114.50, 13,671.76 and 2,189 is: 3,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.50 : 13,671.76 = 2,189 : x
  2. Step 2: Convert to fraction form
    9,114.50/13,671.76 = 2,189/x
  3. Step 3: Cross multiply
    9,114.50x = 13,671.76 × 2,189
  4. Step 4: Simplify right side
    9,114.50x = 29,927,482.64
  5. Step 5: Solve for x
    x = 29,927,482.64/9,114.50
  6. Step 6: Final answer
    x = 3,283.50

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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.