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Finding the Fourth Proportional to 30,416.63, 45,632.25 and 9,640.13

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Solution

The fourth proportional to 30,416.63, 45,632.25 and 9,640.13 is: 14,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.63 : 45,632.25 = 9,640.13 : x
  2. Step 2: Convert to fraction form
    30,416.63/45,632.25 = 9,640.13/x
  3. Step 3: Cross multiply
    30,416.63x = 45,632.25 × 9,640.13
  4. Step 4: Simplify right side
    30,416.63x = 439,900,594.03
  5. Step 5: Solve for x
    x = 439,900,594.03/30,416.63
  6. Step 6: Final answer
    x = 14,462.51

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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.