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Finding the Fourth Proportional to 6,096.97, 9,133.16 and 4,705.49

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Solution

The fourth proportional to 6,096.97, 9,133.16 and 4,705.49 is: 7,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.97 : 9,133.16 = 4,705.49 : x
  2. Step 2: Convert to fraction form
    6,096.97/9,133.16 = 4,705.49/x
  3. Step 3: Cross multiply
    6,096.97x = 9,133.16 × 4,705.49
  4. Step 4: Simplify right side
    6,096.97x = 42,975,992.35
  5. Step 5: Solve for x
    x = 42,975,992.35/6,096.97
  6. Step 6: Final answer
    x = 7,048.74

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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.