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Finding the Fourth Proportional to 7,073.73, 9,763.16 and 4,089.42

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Solution

The fourth proportional to 7,073.73, 9,763.16 and 4,089.42 is: 5,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.73 : 9,763.16 = 4,089.42 : x
  2. Step 2: Convert to fraction form
    7,073.73/9,763.16 = 4,089.42/x
  3. Step 3: Cross multiply
    7,073.73x = 9,763.16 × 4,089.42
  4. Step 4: Simplify right side
    7,073.73x = 39,925,641.32
  5. Step 5: Solve for x
    x = 39,925,641.32/7,073.73
  6. Step 6: Final answer
    x = 5,644.21

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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.