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Finding the Fourth Proportional to 11,650.08, 16,074 and 7,460.76

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Solution

The fourth proportional to 11,650.08, 16,074 and 7,460.76 is: 10,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.08 : 16,074 = 7,460.76 : x
  2. Step 2: Convert to fraction form
    11,650.08/16,074 = 7,460.76/x
  3. Step 3: Cross multiply
    11,650.08x = 16,074 × 7,460.76
  4. Step 4: Simplify right side
    11,650.08x = 119,924,256.24
  5. Step 5: Solve for x
    x = 119,924,256.24/11,650.08
  6. Step 6: Final answer
    x = 10,293.86

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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.