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Finding the Fourth Proportional to 30,509.63, 45,765.25 and 9,733.13

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Solution

The fourth proportional to 30,509.63, 45,765.25 and 9,733.13 is: 14,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.63 : 45,765.25 = 9,733.13 : x
  2. Step 2: Convert to fraction form
    30,509.63/45,765.25 = 9,733.13/x
  3. Step 3: Cross multiply
    30,509.63x = 45,765.25 × 9,733.13
  4. Step 4: Simplify right side
    30,509.63x = 445,439,127.73
  5. Step 5: Solve for x
    x = 445,439,127.73/30,509.63
  6. Step 6: Final answer
    x = 14,599.95

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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.