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Finding the Fourth Proportional to 11,827.29, 16,305.96 and 9,803.14

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Solution

The fourth proportional to 11,827.29, 16,305.96 and 9,803.14 is: 13,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.29 : 16,305.96 = 9,803.14 : x
  2. Step 2: Convert to fraction form
    11,827.29/16,305.96 = 9,803.14/x
  3. Step 3: Cross multiply
    11,827.29x = 16,305.96 × 9,803.14
  4. Step 4: Simplify right side
    11,827.29x = 159,849,567.95
  5. Step 5: Solve for x
    x = 159,849,567.95/11,827.29
  6. Step 6: Final answer
    x = 13,515.32

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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.