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Finding the Fourth Proportional to 9,763.92, 14,649.48 and 3,524.40

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Solution

The fourth proportional to 9,763.92, 14,649.48 and 3,524.40 is: 5,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.92 : 14,649.48 = 3,524.40 : x
  2. Step 2: Convert to fraction form
    9,763.92/14,649.48 = 3,524.40/x
  3. Step 3: Cross multiply
    9,763.92x = 14,649.48 × 3,524.40
  4. Step 4: Simplify right side
    9,763.92x = 51,630,627.31
  5. Step 5: Solve for x
    x = 51,630,627.31/9,763.92
  6. Step 6: Final answer
    x = 5,287.90

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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.