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Finding the Fourth Proportional to 9,223.73, 13,835.49 and 4,290.63

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Solution

The fourth proportional to 9,223.73, 13,835.49 and 4,290.63 is: 6,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.73 : 13,835.49 = 4,290.63 : x
  2. Step 2: Convert to fraction form
    9,223.73/13,835.49 = 4,290.63/x
  3. Step 3: Cross multiply
    9,223.73x = 13,835.49 × 4,290.63
  4. Step 4: Simplify right side
    9,223.73x = 59,362,968.46
  5. Step 5: Solve for x
    x = 59,362,968.46/9,223.73
  6. Step 6: Final answer
    x = 6,435.90

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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.