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Finding the Fourth Proportional to 9,549.25, 14,329.64 and 4,077.25

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Solution

The fourth proportional to 9,549.25, 14,329.64 and 4,077.25 is: 6,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.25 : 14,329.64 = 4,077.25 : x
  2. Step 2: Convert to fraction form
    9,549.25/14,329.64 = 4,077.25/x
  3. Step 3: Cross multiply
    9,549.25x = 14,329.64 × 4,077.25
  4. Step 4: Simplify right side
    9,549.25x = 58,425,504.30
  5. Step 5: Solve for x
    x = 58,425,504.30/9,549.25
  6. Step 6: Final answer
    x = 6,118.33

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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.