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Finding the Fourth Proportional to 13,958.16, 19,263.08 and 9,234.16

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Solution

The fourth proportional to 13,958.16, 19,263.08 and 9,234.16 is: 12,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.16 : 19,263.08 = 9,234.16 : x
  2. Step 2: Convert to fraction form
    13,958.16/19,263.08 = 9,234.16/x
  3. Step 3: Cross multiply
    13,958.16x = 19,263.08 × 9,234.16
  4. Step 4: Simplify right side
    13,958.16x = 177,878,362.81
  5. Step 5: Solve for x
    x = 177,878,362.81/13,958.16
  6. Step 6: Final answer
    x = 12,743.68

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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.