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Finding the Fourth Proportional to 11,913.12, 16,430.04 and 11,256.48

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Solution

The fourth proportional to 11,913.12, 16,430.04 and 11,256.48 is: 15,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.12 : 16,430.04 = 11,256.48 : x
  2. Step 2: Convert to fraction form
    11,913.12/16,430.04 = 11,256.48/x
  3. Step 3: Cross multiply
    11,913.12x = 16,430.04 × 11,256.48
  4. Step 4: Simplify right side
    11,913.12x = 184,944,416.66
  5. Step 5: Solve for x
    x = 184,944,416.66/11,913.12
  6. Step 6: Final answer
    x = 15,524.43

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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.