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Finding the Fourth Proportional to 21,537.98, 32,306.98 and 9,843

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Solution

The fourth proportional to 21,537.98, 32,306.98 and 9,843 is: 14,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.98 : 32,306.98 = 9,843 : x
  2. Step 2: Convert to fraction form
    21,537.98/32,306.98 = 9,843/x
  3. Step 3: Cross multiply
    21,537.98x = 32,306.98 × 9,843
  4. Step 4: Simplify right side
    21,537.98x = 317,997,579.53
  5. Step 5: Solve for x
    x = 317,997,579.53/21,537.98
  6. Step 6: Final answer
    x = 14,764.50

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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.