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Finding the Fourth Proportional to 14,130.44, 19,502.34 and 7,844.84

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Solution

The fourth proportional to 14,130.44, 19,502.34 and 7,844.84 is: 10,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.44 : 19,502.34 = 7,844.84 : x
  2. Step 2: Convert to fraction form
    14,130.44/19,502.34 = 7,844.84/x
  3. Step 3: Cross multiply
    14,130.44x = 19,502.34 × 7,844.84
  4. Step 4: Simplify right side
    14,130.44x = 152,992,736.93
  5. Step 5: Solve for x
    x = 152,992,736.93/14,130.44
  6. Step 6: Final answer
    x = 10,827.17

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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.