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Finding the Fourth Proportional to 7,206.25, 9,945.53 and 4,223.22

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Solution

The fourth proportional to 7,206.25, 9,945.53 and 4,223.22 is: 5,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.25 : 9,945.53 = 4,223.22 : x
  2. Step 2: Convert to fraction form
    7,206.25/9,945.53 = 4,223.22/x
  3. Step 3: Cross multiply
    7,206.25x = 9,945.53 × 4,223.22
  4. Step 4: Simplify right side
    7,206.25x = 42,002,140.09
  5. Step 5: Solve for x
    x = 42,002,140.09/7,206.25
  6. Step 6: Final answer
    x = 5,828.57

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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.