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Finding the Fourth Proportional to 7,978.11, 11,009.16 and 4,793.19

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Solution

The fourth proportional to 7,978.11, 11,009.16 and 4,793.19 is: 6,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.11 : 11,009.16 = 4,793.19 : x
  2. Step 2: Convert to fraction form
    7,978.11/11,009.16 = 4,793.19/x
  3. Step 3: Cross multiply
    7,978.11x = 11,009.16 × 4,793.19
  4. Step 4: Simplify right side
    7,978.11x = 52,768,995.62
  5. Step 5: Solve for x
    x = 52,768,995.62/7,978.11
  6. Step 6: Final answer
    x = 6,614.22

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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.