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Finding the Fourth Proportional to 7,827.03, 10,801.23 and 4,290.23

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Solution

The fourth proportional to 7,827.03, 10,801.23 and 4,290.23 is: 5,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.03 : 10,801.23 = 4,290.23 : x
  2. Step 2: Convert to fraction form
    7,827.03/10,801.23 = 4,290.23/x
  3. Step 3: Cross multiply
    7,827.03x = 10,801.23 × 4,290.23
  4. Step 4: Simplify right side
    7,827.03x = 46,339,760.98
  5. Step 5: Solve for x
    x = 46,339,760.98/7,827.03
  6. Step 6: Final answer
    x = 5,920.48

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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.