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Finding the Fourth Proportional to 9,827.90, 14,741.88 and 8,092.88

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Solution

The fourth proportional to 9,827.90, 14,741.88 and 8,092.88 is: 12,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.90 : 14,741.88 = 8,092.88 : x
  2. Step 2: Convert to fraction form
    9,827.90/14,741.88 = 8,092.88/x
  3. Step 3: Cross multiply
    9,827.90x = 14,741.88 × 8,092.88
  4. Step 4: Simplify right side
    9,827.90x = 119,304,265.81
  5. Step 5: Solve for x
    x = 119,304,265.81/9,827.90
  6. Step 6: Final answer
    x = 12,139.34

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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.