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Finding the Fourth Proportional to 7,188.54, 9,923.52 and 4,203.42

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Solution

The fourth proportional to 7,188.54, 9,923.52 and 4,203.42 is: 5,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.54 : 9,923.52 = 4,203.42 : x
  2. Step 2: Convert to fraction form
    7,188.54/9,923.52 = 4,203.42/x
  3. Step 3: Cross multiply
    7,188.54x = 9,923.52 × 4,203.42
  4. Step 4: Simplify right side
    7,188.54x = 41,712,722.44
  5. Step 5: Solve for x
    x = 41,712,722.44/7,188.54
  6. Step 6: Final answer
    x = 5,802.67

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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.