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Finding the Fourth Proportional to 30,512.13, 45,769.02 and 9,735.63

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Solution

The fourth proportional to 30,512.13, 45,769.02 and 9,735.63 is: 14,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.13 : 45,769.02 = 9,735.63 : x
  2. Step 2: Convert to fraction form
    30,512.13/45,769.02 = 9,735.63/x
  3. Step 3: Cross multiply
    30,512.13x = 45,769.02 × 9,735.63
  4. Step 4: Simplify right side
    30,512.13x = 445,590,244.18
  5. Step 5: Solve for x
    x = 445,590,244.18/30,512.13
  6. Step 6: Final answer
    x = 14,603.71

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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.