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Finding the Fourth Proportional to 7,085.88, 9,775.08 and 4,728.78

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Solution

The fourth proportional to 7,085.88, 9,775.08 and 4,728.78 is: 6,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.88 : 9,775.08 = 4,728.78 : x
  2. Step 2: Convert to fraction form
    7,085.88/9,775.08 = 4,728.78/x
  3. Step 3: Cross multiply
    7,085.88x = 9,775.08 × 4,728.78
  4. Step 4: Simplify right side
    7,085.88x = 46,224,202.80
  5. Step 5: Solve for x
    x = 46,224,202.80/7,085.88
  6. Step 6: Final answer
    x = 6,523.42

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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.