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Finding the Fourth Proportional to 6,326.35, 9,453.54 and 4,734.78

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Solution

The fourth proportional to 6,326.35, 9,453.54 and 4,734.78 is: 7,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.35 : 9,453.54 = 4,734.78 : x
  2. Step 2: Convert to fraction form
    6,326.35/9,453.54 = 4,734.78/x
  3. Step 3: Cross multiply
    6,326.35x = 9,453.54 × 4,734.78
  4. Step 4: Simplify right side
    6,326.35x = 44,760,401.06
  5. Step 5: Solve for x
    x = 44,760,401.06/6,326.35
  6. Step 6: Final answer
    x = 7,075.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.