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Finding the Fourth Proportional to 4,323.40, 6,453.71 and 4,003

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Solution

The fourth proportional to 4,323.40, 6,453.71 and 4,003 is: 5,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.40 : 6,453.71 = 4,003 : x
  2. Step 2: Convert to fraction form
    4,323.40/6,453.71 = 4,003/x
  3. Step 3: Cross multiply
    4,323.40x = 6,453.71 × 4,003
  4. Step 4: Simplify right side
    4,323.40x = 25,834,201.13
  5. Step 5: Solve for x
    x = 25,834,201.13/4,323.40
  6. Step 6: Final answer
    x = 5,975.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.