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Finding the Fourth Proportional to 9,772.32, 14,664.48 and 8,148.96

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Solution

The fourth proportional to 9,772.32, 14,664.48 and 8,148.96 is: 12,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.32 : 14,664.48 = 8,148.96 : x
  2. Step 2: Convert to fraction form
    9,772.32/14,664.48 = 8,148.96/x
  3. Step 3: Cross multiply
    9,772.32x = 14,664.48 × 8,148.96
  4. Step 4: Simplify right side
    9,772.32x = 119,500,260.94
  5. Step 5: Solve for x
    x = 119,500,260.94/9,772.32
  6. Step 6: Final answer
    x = 12,228.44

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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.