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Finding the Fourth Proportional to 4,653.98, 6,980.04 and 2,983.16

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Solution

The fourth proportional to 4,653.98, 6,980.04 and 2,983.16 is: 4,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.98 : 6,980.04 = 2,983.16 : x
  2. Step 2: Convert to fraction form
    4,653.98/6,980.04 = 2,983.16/x
  3. Step 3: Cross multiply
    4,653.98x = 6,980.04 × 2,983.16
  4. Step 4: Simplify right side
    4,653.98x = 20,822,576.13
  5. Step 5: Solve for x
    x = 20,822,576.13/4,653.98
  6. Step 6: Final answer
    x = 4,474.14

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1.5x scale

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.