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Finding the Fourth Proportional to 9,657.64, 14,479.26 and 6,146.92

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Solution

The fourth proportional to 9,657.64, 14,479.26 and 6,146.92 is: 9,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.64 : 14,479.26 = 6,146.92 : x
  2. Step 2: Convert to fraction form
    9,657.64/14,479.26 = 6,146.92/x
  3. Step 3: Cross multiply
    9,657.64x = 14,479.26 × 6,146.92
  4. Step 4: Simplify right side
    9,657.64x = 89,002,852.88
  5. Step 5: Solve for x
    x = 89,002,852.88/9,657.64
  6. Step 6: Final answer
    x = 9,215.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.