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Finding the Fourth Proportional to 12,288.54, 16,958.54 and 7,509.27

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Solution

The fourth proportional to 12,288.54, 16,958.54 and 7,509.27 is: 10,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.54 : 16,958.54 = 7,509.27 : x
  2. Step 2: Convert to fraction form
    12,288.54/16,958.54 = 7,509.27/x
  3. Step 3: Cross multiply
    12,288.54x = 16,958.54 × 7,509.27
  4. Step 4: Simplify right side
    12,288.54x = 127,346,218.12
  5. Step 5: Solve for x
    x = 127,346,218.12/12,288.54
  6. Step 6: Final answer
    x = 10,363.01

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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.