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Finding the Fourth Proportional to 7,057.75, 9,740.49 and 4,074.38

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Solution

The fourth proportional to 7,057.75, 9,740.49 and 4,074.38 is: 5,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.75 : 9,740.49 = 4,074.38 : x
  2. Step 2: Convert to fraction form
    7,057.75/9,740.49 = 4,074.38/x
  3. Step 3: Cross multiply
    7,057.75x = 9,740.49 × 4,074.38
  4. Step 4: Simplify right side
    7,057.75x = 39,686,457.65
  5. Step 5: Solve for x
    x = 39,686,457.65/7,057.75
  6. Step 6: Final answer
    x = 5,623.10

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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.