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Finding the Fourth Proportional to 6,005.80, 8,278.02 and 4,738.60

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Solution

The fourth proportional to 6,005.80, 8,278.02 and 4,738.60 is: 6,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.80 : 8,278.02 = 4,738.60 : x
  2. Step 2: Convert to fraction form
    6,005.80/8,278.02 = 4,738.60/x
  3. Step 3: Cross multiply
    6,005.80x = 8,278.02 × 4,738.60
  4. Step 4: Simplify right side
    6,005.80x = 39,226,225.57
  5. Step 5: Solve for x
    x = 39,226,225.57/6,005.80
  6. Step 6: Final answer
    x = 6,531.39

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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.