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Finding the Fourth Proportional to 7,206.42, 9,947.34 and 4,223.22

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Solution

The fourth proportional to 7,206.42, 9,947.34 and 4,223.22 is: 5,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.42 : 9,947.34 = 4,223.22 : x
  2. Step 2: Convert to fraction form
    7,206.42/9,947.34 = 4,223.22/x
  3. Step 3: Cross multiply
    7,206.42x = 9,947.34 × 4,223.22
  4. Step 4: Simplify right side
    7,206.42x = 42,009,805.23
  5. Step 5: Solve for x
    x = 42,009,805.23/7,206.42
  6. Step 6: Final answer
    x = 5,829.50

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Double scale
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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.