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Finding the Fourth Proportional to 6,769.30, 10,142.32 and 6,084.50

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Solution

The fourth proportional to 6,769.30, 10,142.32 and 6,084.50 is: 9,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.30 : 10,142.32 = 6,084.50 : x
  2. Step 2: Convert to fraction form
    6,769.30/10,142.32 = 6,084.50/x
  3. Step 3: Cross multiply
    6,769.30x = 10,142.32 × 6,084.50
  4. Step 4: Simplify right side
    6,769.30x = 61,710,946.04
  5. Step 5: Solve for x
    x = 61,710,946.04/6,769.30
  6. Step 6: Final answer
    x = 9,116.30

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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.