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Finding the Fourth Proportional to 14,101.12, 19,458.71 and 7,726.45

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Solution

The fourth proportional to 14,101.12, 19,458.71 and 7,726.45 is: 10,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.12 : 19,458.71 = 7,726.45 : x
  2. Step 2: Convert to fraction form
    14,101.12/19,458.71 = 7,726.45/x
  3. Step 3: Cross multiply
    14,101.12x = 19,458.71 × 7,726.45
  4. Step 4: Simplify right side
    14,101.12x = 150,346,749.88
  5. Step 5: Solve for x
    x = 150,346,749.88/14,101.12
  6. Step 6: Final answer
    x = 10,662.04

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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.