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Finding the Fourth Proportional to 29,674.78, 44,512.61 and 9,684.18

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Solution

The fourth proportional to 29,674.78, 44,512.61 and 9,684.18 is: 14,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.78 : 44,512.61 = 9,684.18 : x
  2. Step 2: Convert to fraction form
    29,674.78/44,512.61 = 9,684.18/x
  3. Step 3: Cross multiply
    29,674.78x = 44,512.61 × 9,684.18
  4. Step 4: Simplify right side
    29,674.78x = 431,068,127.51
  5. Step 5: Solve for x
    x = 431,068,127.51/29,674.78
  6. Step 6: Final answer
    x = 14,526.41

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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.