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Finding the Fourth Proportional to 8,293.11, 11,430.09 and 6,051.30

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Solution

The fourth proportional to 8,293.11, 11,430.09 and 6,051.30 is: 8,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.11 : 11,430.09 = 6,051.30 : x
  2. Step 2: Convert to fraction form
    8,293.11/11,430.09 = 6,051.30/x
  3. Step 3: Cross multiply
    8,293.11x = 11,430.09 × 6,051.30
  4. Step 4: Simplify right side
    8,293.11x = 69,166,903.62
  5. Step 5: Solve for x
    x = 69,166,903.62/8,293.11
  6. Step 6: Final answer
    x = 8,340.29

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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.