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Finding the Fourth Proportional to 14,058.46, 19,400.07 and 7,684.93

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Solution

The fourth proportional to 14,058.46, 19,400.07 and 7,684.93 is: 10,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.46 : 19,400.07 = 7,684.93 : x
  2. Step 2: Convert to fraction form
    14,058.46/19,400.07 = 7,684.93/x
  3. Step 3: Cross multiply
    14,058.46x = 19,400.07 × 7,684.93
  4. Step 4: Simplify right side
    14,058.46x = 149,088,179.95
  5. Step 5: Solve for x
    x = 149,088,179.95/14,058.46
  6. Step 6: Final answer
    x = 10,604.88

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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.