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Finding the Fourth Proportional to 9,651.94, 14,461.36 and 6,483.44

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Solution

The fourth proportional to 9,651.94, 14,461.36 and 6,483.44 is: 9,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.94 : 14,461.36 = 6,483.44 : x
  2. Step 2: Convert to fraction form
    9,651.94/14,461.36 = 6,483.44/x
  3. Step 3: Cross multiply
    9,651.94x = 14,461.36 × 6,483.44
  4. Step 4: Simplify right side
    9,651.94x = 93,759,359.88
  5. Step 5: Solve for x
    x = 93,759,359.88/9,651.94
  6. Step 6: Final answer
    x = 9,714.04

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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.