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Finding the Fourth Proportional to 9,498.96, 14,250.12 and 3,259.64

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Solution

The fourth proportional to 9,498.96, 14,250.12 and 3,259.64 is: 4,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.96 : 14,250.12 = 3,259.64 : x
  2. Step 2: Convert to fraction form
    9,498.96/14,250.12 = 3,259.64/x
  3. Step 3: Cross multiply
    9,498.96x = 14,250.12 × 3,259.64
  4. Step 4: Simplify right side
    9,498.96x = 46,450,261.16
  5. Step 5: Solve for x
    x = 46,450,261.16/9,498.96
  6. Step 6: Final answer
    x = 4,890.04

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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.