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Finding the Fourth Proportional to 7,208.19, 9,947.31 and 4,223.43

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Solution

The fourth proportional to 7,208.19, 9,947.31 and 4,223.43 is: 5,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.19 : 9,947.31 = 4,223.43 : x
  2. Step 2: Convert to fraction form
    7,208.19/9,947.31 = 4,223.43/x
  3. Step 3: Cross multiply
    7,208.19x = 9,947.31 × 4,223.43
  4. Step 4: Simplify right side
    7,208.19x = 42,011,767.47
  5. Step 5: Solve for x
    x = 42,011,767.47/7,208.19
  6. Step 6: Final answer
    x = 5,828.34

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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.