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Finding the Fourth Proportional to 7,411, 10,227.46 and 4,224.80

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Solution

The fourth proportional to 7,411, 10,227.46 and 4,224.80 is: 5,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411 : 10,227.46 = 4,224.80 : x
  2. Step 2: Convert to fraction form
    7,411/10,227.46 = 4,224.80/x
  3. Step 3: Cross multiply
    7,411x = 10,227.46 × 4,224.80
  4. Step 4: Simplify right side
    7,411x = 43,208,973.01
  5. Step 5: Solve for x
    x = 43,208,973.01/7,411
  6. Step 6: Final answer
    x = 5,830.38

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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.