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Finding the Fourth Proportional to 8,223.42, 11,348.37 and 4,497.42

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Solution

The fourth proportional to 8,223.42, 11,348.37 and 4,497.42 is: 6,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.42 : 11,348.37 = 4,497.42 : x
  2. Step 2: Convert to fraction form
    8,223.42/11,348.37 = 4,497.42/x
  3. Step 3: Cross multiply
    8,223.42x = 11,348.37 × 4,497.42
  4. Step 4: Simplify right side
    8,223.42x = 51,038,386.21
  5. Step 5: Solve for x
    x = 51,038,386.21/8,223.42
  6. Step 6: Final answer
    x = 6,206.47

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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.