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Finding the Fourth Proportional to 6,705.99, 10,048.25 and 5,661.09

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Solution

The fourth proportional to 6,705.99, 10,048.25 and 5,661.09 is: 8,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.99 : 10,048.25 = 5,661.09 : x
  2. Step 2: Convert to fraction form
    6,705.99/10,048.25 = 5,661.09/x
  3. Step 3: Cross multiply
    6,705.99x = 10,048.25 × 5,661.09
  4. Step 4: Simplify right side
    6,705.99x = 56,884,061.75
  5. Step 5: Solve for x
    x = 56,884,061.75/6,705.99
  6. Step 6: Final answer
    x = 8,482.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.