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Finding the Fourth Proportional to 13,840.77, 19,099.76 and 7,553.01

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Solution

The fourth proportional to 13,840.77, 19,099.76 and 7,553.01 is: 10,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.77 : 19,099.76 = 7,553.01 : x
  2. Step 2: Convert to fraction form
    13,840.77/19,099.76 = 7,553.01/x
  3. Step 3: Cross multiply
    13,840.77x = 19,099.76 × 7,553.01
  4. Step 4: Simplify right side
    13,840.77x = 144,260,640.51
  5. Step 5: Solve for x
    x = 144,260,640.51/13,840.77
  6. Step 6: Final answer
    x = 10,422.88

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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.