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Finding the Fourth Proportional to 5,574.99, 8,361.54 and 1,678.49

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Solution

The fourth proportional to 5,574.99, 8,361.54 and 1,678.49 is: 2,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.99 : 8,361.54 = 1,678.49 : x
  2. Step 2: Convert to fraction form
    5,574.99/8,361.54 = 1,678.49/x
  3. Step 3: Cross multiply
    5,574.99x = 8,361.54 × 1,678.49
  4. Step 4: Simplify right side
    5,574.99x = 14,034,761.27
  5. Step 5: Solve for x
    x = 14,034,761.27/5,574.99
  6. Step 6: Final answer
    x = 2,517.45

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Half scale
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Double scale
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Similar ratio
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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.