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Finding the Fourth Proportional to 30,585.57, 45,884.94 and 9,525.15

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Solution

The fourth proportional to 30,585.57, 45,884.94 and 9,525.15 is: 14,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.57 : 45,884.94 = 9,525.15 : x
  2. Step 2: Convert to fraction form
    30,585.57/45,884.94 = 9,525.15/x
  3. Step 3: Cross multiply
    30,585.57x = 45,884.94 × 9,525.15
  4. Step 4: Simplify right side
    30,585.57x = 437,060,936.24
  5. Step 5: Solve for x
    x = 437,060,936.24/30,585.57
  6. Step 6: Final answer
    x = 14,289.78

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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.