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Finding the Fourth Proportional to 7,083.50, 9,758.31 and 4,955.05

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Solution

The fourth proportional to 7,083.50, 9,758.31 and 4,955.05 is: 6,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.50 : 9,758.31 = 4,955.05 : x
  2. Step 2: Convert to fraction form
    7,083.50/9,758.31 = 4,955.05/x
  3. Step 3: Cross multiply
    7,083.50x = 9,758.31 × 4,955.05
  4. Step 4: Simplify right side
    7,083.50x = 48,352,907.58
  5. Step 5: Solve for x
    x = 48,352,907.58/7,083.50
  6. Step 6: Final answer
    x = 6,826.14

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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.