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Finding the Fourth Proportional to 9,194.94, 12,689.10 and 5,003.19

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Solution

The fourth proportional to 9,194.94, 12,689.10 and 5,003.19 is: 6,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.94 : 12,689.10 = 5,003.19 : x
  2. Step 2: Convert to fraction form
    9,194.94/12,689.10 = 5,003.19/x
  3. Step 3: Cross multiply
    9,194.94x = 12,689.10 × 5,003.19
  4. Step 4: Simplify right side
    9,194.94x = 63,485,978.23
  5. Step 5: Solve for x
    x = 63,485,978.23/9,194.94
  6. Step 6: Final answer
    x = 6,904.45

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Half scale
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Double scale
Find fourth proportional to 9,195.94, 12,690.48 and 5,004.19
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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.