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Finding the Fourth Proportional to 13,796.33, 19,041.08 and 7,826.76

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Solution

The fourth proportional to 13,796.33, 19,041.08 and 7,826.76 is: 10,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.33 : 19,041.08 = 7,826.76 : x
  2. Step 2: Convert to fraction form
    13,796.33/19,041.08 = 7,826.76/x
  3. Step 3: Cross multiply
    13,796.33x = 19,041.08 × 7,826.76
  4. Step 4: Simplify right side
    13,796.33x = 149,029,924.17
  5. Step 5: Solve for x
    x = 149,029,924.17/13,796.33
  6. Step 6: Final answer
    x = 10,802.15

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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.