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Finding the Fourth Proportional to 9,364.80, 12,923.04 and 6,002.88

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Solution

The fourth proportional to 9,364.80, 12,923.04 and 6,002.88 is: 8,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.80 : 12,923.04 = 6,002.88 : x
  2. Step 2: Convert to fraction form
    9,364.80/12,923.04 = 6,002.88/x
  3. Step 3: Cross multiply
    9,364.80x = 12,923.04 × 6,002.88
  4. Step 4: Simplify right side
    9,364.80x = 77,575,458.36
  5. Step 5: Solve for x
    x = 77,575,458.36/9,364.80
  6. Step 6: Final answer
    x = 8,283.73

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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.