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Finding the Fourth Proportional to 14,001, 19,321.38 and 7,713.51

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Solution

The fourth proportional to 14,001, 19,321.38 and 7,713.51 is: 10,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001 : 19,321.38 = 7,713.51 : x
  2. Step 2: Convert to fraction form
    14,001/19,321.38 = 7,713.51/x
  3. Step 3: Cross multiply
    14,001x = 19,321.38 × 7,713.51
  4. Step 4: Simplify right side
    14,001x = 149,035,657.84
  5. Step 5: Solve for x
    x = 149,035,657.84/14,001
  6. Step 6: Final answer
    x = 10,644.64

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Half scale
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Double 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.