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Finding the Fourth Proportional to 23,537.50, 35,306.54 and 6,897.87

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Solution

The fourth proportional to 23,537.50, 35,306.54 and 6,897.87 is: 10,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.50 : 35,306.54 = 6,897.87 : x
  2. Step 2: Convert to fraction form
    23,537.50/35,306.54 = 6,897.87/x
  3. Step 3: Cross multiply
    23,537.50x = 35,306.54 × 6,897.87
  4. Step 4: Simplify right side
    23,537.50x = 243,539,923.07
  5. Step 5: Solve for x
    x = 243,539,923.07/23,537.50
  6. Step 6: Final answer
    x = 10,346.89

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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.