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Finding the Fourth Proportional to 30,514.64, 45,772.76 and 9,738.12

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Solution

The fourth proportional to 30,514.64, 45,772.76 and 9,738.12 is: 14,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.64 : 45,772.76 = 9,738.12 : x
  2. Step 2: Convert to fraction form
    30,514.64/45,772.76 = 9,738.12/x
  3. Step 3: Cross multiply
    30,514.64x = 45,772.76 × 9,738.12
  4. Step 4: Simplify right side
    30,514.64x = 445,740,629.61
  5. Step 5: Solve for x
    x = 445,740,629.61/30,514.64
  6. Step 6: Final answer
    x = 14,607.44

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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.