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Finding the Fourth Proportional to 7,805.84, 10,772.04 and 4,220.77

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Solution

The fourth proportional to 7,805.84, 10,772.04 and 4,220.77 is: 5,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.84 : 10,772.04 = 4,220.77 : x
  2. Step 2: Convert to fraction form
    7,805.84/10,772.04 = 4,220.77/x
  3. Step 3: Cross multiply
    7,805.84x = 10,772.04 × 4,220.77
  4. Step 4: Simplify right side
    7,805.84x = 45,466,321.11
  5. Step 5: Solve for x
    x = 45,466,321.11/7,805.84
  6. Step 6: Final answer
    x = 5,824.65

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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.