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Finding the Fourth Proportional to 7,334.40, 11,006.40 and 4,214.40

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Solution

The fourth proportional to 7,334.40, 11,006.40 and 4,214.40 is: 6,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.40 : 11,006.40 = 4,214.40 : x
  2. Step 2: Convert to fraction form
    7,334.40/11,006.40 = 4,214.40/x
  3. Step 3: Cross multiply
    7,334.40x = 11,006.40 × 4,214.40
  4. Step 4: Simplify right side
    7,334.40x = 46,385,372.16
  5. Step 5: Solve for x
    x = 46,385,372.16/7,334.40
  6. Step 6: Final answer
    x = 6,324.36

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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.