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Finding the Fourth Proportional to 4,821.19, 7,223.82 and 4,417.67

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Solution

The fourth proportional to 4,821.19, 7,223.82 and 4,417.67 is: 6,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.19 : 7,223.82 = 4,417.67 : x
  2. Step 2: Convert to fraction form
    4,821.19/7,223.82 = 4,417.67/x
  3. Step 3: Cross multiply
    4,821.19x = 7,223.82 × 4,417.67
  4. Step 4: Simplify right side
    4,821.19x = 31,912,454.39
  5. Step 5: Solve for x
    x = 31,912,454.39/4,821.19
  6. Step 6: Final answer
    x = 6,619.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.