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Finding the Fourth Proportional to 7,189.03, 10,783.53 and 2,259.10

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Solution

The fourth proportional to 7,189.03, 10,783.53 and 2,259.10 is: 3,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.03 : 10,783.53 = 2,259.10 : x
  2. Step 2: Convert to fraction form
    7,189.03/10,783.53 = 2,259.10/x
  3. Step 3: Cross multiply
    7,189.03x = 10,783.53 × 2,259.10
  4. Step 4: Simplify right side
    7,189.03x = 24,361,072.62
  5. Step 5: Solve for x
    x = 24,361,072.62/7,189.03
  6. Step 6: Final answer
    x = 3,388.65

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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.