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Finding the Fourth Proportional to 9,996.30, 14,009.40 and 9,996.30

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Solution

The fourth proportional to 9,996.30, 14,009.40 and 9,996.30 is: 14,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.30 : 14,009.40 = 9,996.30 : x
  2. Step 2: Convert to fraction form
    9,996.30/14,009.40 = 9,996.30/x
  3. Step 3: Cross multiply
    9,996.30x = 14,009.40 × 9,996.30
  4. Step 4: Simplify right side
    9,996.30x = 140,042,165.22
  5. Step 5: Solve for x
    x = 140,042,165.22/9,996.30
  6. Step 6: Final answer
    x = 14,009.40

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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 (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.