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Finding the Fourth Proportional to 11,798.72, 16,276.10 and 9,563.12

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Solution

The fourth proportional to 11,798.72, 16,276.10 and 9,563.12 is: 13,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.72 : 16,276.10 = 9,563.12 : x
  2. Step 2: Convert to fraction form
    11,798.72/16,276.10 = 9,563.12/x
  3. Step 3: Cross multiply
    11,798.72x = 16,276.10 × 9,563.12
  4. Step 4: Simplify right side
    11,798.72x = 155,650,297.43
  5. Step 5: Solve for x
    x = 155,650,297.43/11,798.72
  6. Step 6: Final answer
    x = 13,192.13

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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.