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Finding the Fourth Proportional to 5,533.99, 7,633.10 and 3,294.14

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Solution

The fourth proportional to 5,533.99, 7,633.10 and 3,294.14 is: 4,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.99 : 7,633.10 = 3,294.14 : x
  2. Step 2: Convert to fraction form
    5,533.99/7,633.10 = 3,294.14/x
  3. Step 3: Cross multiply
    5,533.99x = 7,633.10 × 3,294.14
  4. Step 4: Simplify right side
    5,533.99x = 25,144,470.10
  5. Step 5: Solve for x
    x = 25,144,470.10/5,533.99
  6. Step 6: Final answer
    x = 4,543.64

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Half scale
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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.