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Finding the Fourth Proportional to 11,780, 16,256.12 and 6,474.76

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Solution

The fourth proportional to 11,780, 16,256.12 and 6,474.76 is: 8,935.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 16,256.12 = 6,474.76 : x
  2. Step 2: Convert to fraction form
    11,780/16,256.12 = 6,474.76/x
  3. Step 3: Cross multiply
    11,780x = 16,256.12 × 6,474.76
  4. Step 4: Simplify right side
    11,780x = 105,254,475.53
  5. Step 5: Solve for x
    x = 105,254,475.53/11,780
  6. Step 6: Final answer
    x = 8,935.01

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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.