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Finding the Fourth Proportional to 7,225.50, 9,971.19 and 3,913.50

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Solution

The fourth proportional to 7,225.50, 9,971.19 and 3,913.50 is: 5,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.50 : 9,971.19 = 3,913.50 : x
  2. Step 2: Convert to fraction form
    7,225.50/9,971.19 = 3,913.50/x
  3. Step 3: Cross multiply
    7,225.50x = 9,971.19 × 3,913.50
  4. Step 4: Simplify right side
    7,225.50x = 39,022,252.07
  5. Step 5: Solve for x
    x = 39,022,252.07/7,225.50
  6. Step 6: Final answer
    x = 5,400.63

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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.