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Finding the Fourth Proportional to 14,460.96, 19,957.14 and 8,173.38

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Solution

The fourth proportional to 14,460.96, 19,957.14 and 8,173.38 is: 11,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.96 : 19,957.14 = 8,173.38 : x
  2. Step 2: Convert to fraction form
    14,460.96/19,957.14 = 8,173.38/x
  3. Step 3: Cross multiply
    14,460.96x = 19,957.14 × 8,173.38
  4. Step 4: Simplify right side
    14,460.96x = 163,117,288.93
  5. Step 5: Solve for x
    x = 163,117,288.93/14,460.96
  6. Step 6: Final answer
    x = 11,279.84

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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.