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Finding the Fourth Proportional to 9,801.50, 13,526.01 and 5,325.26

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Solution

The fourth proportional to 9,801.50, 13,526.01 and 5,325.26 is: 7,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.50 : 13,526.01 = 5,325.26 : x
  2. Step 2: Convert to fraction form
    9,801.50/13,526.01 = 5,325.26/x
  3. Step 3: Cross multiply
    9,801.50x = 13,526.01 × 5,325.26
  4. Step 4: Simplify right side
    9,801.50x = 72,029,452.38
  5. Step 5: Solve for x
    x = 72,029,452.38/9,801.50
  6. Step 6: Final answer
    x = 7,348.82

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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.