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Finding the Fourth Proportional to 9,867.34, 14,801.10 and 3,293.50

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Solution

The fourth proportional to 9,867.34, 14,801.10 and 3,293.50 is: 4,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.34 : 14,801.10 = 3,293.50 : x
  2. Step 2: Convert to fraction form
    9,867.34/14,801.10 = 3,293.50/x
  3. Step 3: Cross multiply
    9,867.34x = 14,801.10 × 3,293.50
  4. Step 4: Simplify right side
    9,867.34x = 48,747,422.85
  5. Step 5: Solve for x
    x = 48,747,422.85/9,867.34
  6. Step 6: Final answer
    x = 4,940.28

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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.