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Finding the Fourth Proportional to 7,483.86, 11,223.54 and 2,289.60

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Solution

The fourth proportional to 7,483.86, 11,223.54 and 2,289.60 is: 3,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.86 : 11,223.54 = 2,289.60 : x
  2. Step 2: Convert to fraction form
    7,483.86/11,223.54 = 2,289.60/x
  3. Step 3: Cross multiply
    7,483.86x = 11,223.54 × 2,289.60
  4. Step 4: Simplify right side
    7,483.86x = 25,697,417.18
  5. Step 5: Solve for x
    x = 25,697,417.18/7,483.86
  6. Step 6: Final answer
    x = 3,433.71

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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.