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Finding the Fourth Proportional to 9,256.64, 12,769.80 and 6,069.92

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Solution

The fourth proportional to 9,256.64, 12,769.80 and 6,069.92 is: 8,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.64 : 12,769.80 = 6,069.92 : x
  2. Step 2: Convert to fraction form
    9,256.64/12,769.80 = 6,069.92/x
  3. Step 3: Cross multiply
    9,256.64x = 12,769.80 × 6,069.92
  4. Step 4: Simplify right side
    9,256.64x = 77,511,664.42
  5. Step 5: Solve for x
    x = 77,511,664.42/9,256.64
  6. Step 6: Final answer
    x = 8,373.63

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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.