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Finding the Fourth Proportional to 6,076, 9,114.88 and 1,914.60

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Solution

The fourth proportional to 6,076, 9,114.88 and 1,914.60 is: 2,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076 : 9,114.88 = 1,914.60 : x
  2. Step 2: Convert to fraction form
    6,076/9,114.88 = 1,914.60/x
  3. Step 3: Cross multiply
    6,076x = 9,114.88 × 1,914.60
  4. Step 4: Simplify right side
    6,076x = 17,451,349.25
  5. Step 5: Solve for x
    x = 17,451,349.25/6,076
  6. Step 6: Final answer
    x = 2,872.18

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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.