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Finding the Fourth Proportional to 7,223.10, 9,968.34 and 4,237.84

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Solution

The fourth proportional to 7,223.10, 9,968.34 and 4,237.84 is: 5,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.10 : 9,968.34 = 4,237.84 : x
  2. Step 2: Convert to fraction form
    7,223.10/9,968.34 = 4,237.84/x
  3. Step 3: Cross multiply
    7,223.10x = 9,968.34 × 4,237.84
  4. Step 4: Simplify right side
    7,223.10x = 42,244,229.99
  5. Step 5: Solve for x
    x = 42,244,229.99/7,223.10
  6. Step 6: Final answer
    x = 5,848.49

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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.