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Finding the Fourth Proportional to 7,120.98, 9,827.10 and 3,977.17

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Solution

The fourth proportional to 7,120.98, 9,827.10 and 3,977.17 is: 5,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.98 : 9,827.10 = 3,977.17 : x
  2. Step 2: Convert to fraction form
    7,120.98/9,827.10 = 3,977.17/x
  3. Step 3: Cross multiply
    7,120.98x = 9,827.10 × 3,977.17
  4. Step 4: Simplify right side
    7,120.98x = 39,084,022.74
  5. Step 5: Solve for x
    x = 39,084,022.74/7,120.98
  6. Step 6: Final answer
    x = 5,488.57

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1.5x scale

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.