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Finding the Fourth Proportional to 9,998.70, 13,798.09 and 5,461.36

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Solution

The fourth proportional to 9,998.70, 13,798.09 and 5,461.36 is: 7,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.70 : 13,798.09 = 5,461.36 : x
  2. Step 2: Convert to fraction form
    9,998.70/13,798.09 = 5,461.36/x
  3. Step 3: Cross multiply
    9,998.70x = 13,798.09 × 5,461.36
  4. Step 4: Simplify right side
    9,998.70x = 75,356,336.80
  5. Step 5: Solve for x
    x = 75,356,336.80/9,998.70
  6. Step 6: Final answer
    x = 7,536.61

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Half scale
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Double scale
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Similar ratio
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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.