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Finding the Fourth Proportional to 9,998.94, 13,798.54 and 5,807.46

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Solution

The fourth proportional to 9,998.94, 13,798.54 and 5,807.46 is: 8,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.94 : 13,798.54 = 5,807.46 : x
  2. Step 2: Convert to fraction form
    9,998.94/13,798.54 = 5,807.46/x
  3. Step 3: Cross multiply
    9,998.94x = 13,798.54 × 5,807.46
  4. Step 4: Simplify right side
    9,998.94x = 80,134,469.11
  5. Step 5: Solve for x
    x = 80,134,469.11/9,998.94
  6. Step 6: Final answer
    x = 8,014.30

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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.