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Finding the Fourth Proportional to 9,827.31, 13,564.05 and 6,052.89

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Solution

The fourth proportional to 9,827.31, 13,564.05 and 6,052.89 is: 8,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.31 : 13,564.05 = 6,052.89 : x
  2. Step 2: Convert to fraction form
    9,827.31/13,564.05 = 6,052.89/x
  3. Step 3: Cross multiply
    9,827.31x = 13,564.05 × 6,052.89
  4. Step 4: Simplify right side
    9,827.31x = 82,101,702.60
  5. Step 5: Solve for x
    x = 82,101,702.60/9,827.31
  6. Step 6: Final answer
    x = 8,354.44

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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.