Home / 7,084-9,769.36-4,563.04

Finding the Fourth Proportional to 7,084, 9,769.36 and 4,563.04

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Solution

The fourth proportional to 7,084, 9,769.36 and 4,563.04 is: 6,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084 : 9,769.36 = 4,563.04 : x
  2. Step 2: Convert to fraction form
    7,084/9,769.36 = 4,563.04/x
  3. Step 3: Cross multiply
    7,084x = 9,769.36 × 4,563.04
  4. Step 4: Simplify right side
    7,084x = 44,577,980.45
  5. Step 5: Solve for x
    x = 44,577,980.45/7,084
  6. Step 6: Final answer
    x = 6,292.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.