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Finding the Fourth Proportional to 9,200.94, 13,801.53 and 4,006.62

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Solution

The fourth proportional to 9,200.94, 13,801.53 and 4,006.62 is: 6,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.94 : 13,801.53 = 4,006.62 : x
  2. Step 2: Convert to fraction form
    9,200.94/13,801.53 = 4,006.62/x
  3. Step 3: Cross multiply
    9,200.94x = 13,801.53 × 4,006.62
  4. Step 4: Simplify right side
    9,200.94x = 55,297,486.13
  5. Step 5: Solve for x
    x = 55,297,486.13/9,200.94
  6. Step 6: Final answer
    x = 6,009.98

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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.