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Finding the Fourth Proportional to 11,748.64, 16,213.16 and 7,032.92

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Solution

The fourth proportional to 11,748.64, 16,213.16 and 7,032.92 is: 9,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.64 : 16,213.16 = 7,032.92 : x
  2. Step 2: Convert to fraction form
    11,748.64/16,213.16 = 7,032.92/x
  3. Step 3: Cross multiply
    11,748.64x = 16,213.16 × 7,032.92
  4. Step 4: Simplify right side
    11,748.64x = 114,025,793.74
  5. Step 5: Solve for x
    x = 114,025,793.74/11,748.64
  6. Step 6: Final answer
    x = 9,705.45

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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.