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Finding the Fourth Proportional to 5,367.05, 7,406.53 and 3,009.19

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Solution

The fourth proportional to 5,367.05, 7,406.53 and 3,009.19 is: 4,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.05 : 7,406.53 = 3,009.19 : x
  2. Step 2: Convert to fraction form
    5,367.05/7,406.53 = 3,009.19/x
  3. Step 3: Cross multiply
    5,367.05x = 7,406.53 × 3,009.19
  4. Step 4: Simplify right side
    5,367.05x = 22,287,656.01
  5. Step 5: Solve for x
    x = 22,287,656.01/5,367.05
  6. Step 6: Final answer
    x = 4,152.68

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Half scale
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Double 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.