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Finding the Fourth Proportional to 34,594.71, 51,892.10 and 9,634.81

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Solution

The fourth proportional to 34,594.71, 51,892.10 and 9,634.81 is: 14,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,594.71 : 51,892.10 = 9,634.81 : x
  2. Step 2: Convert to fraction form
    34,594.71/51,892.10 = 9,634.81/x
  3. Step 3: Cross multiply
    34,594.71x = 51,892.10 × 9,634.81
  4. Step 4: Simplify right side
    34,594.71x = 499,970,524.00
  5. Step 5: Solve for x
    x = 499,970,524.00/34,594.71
  6. Step 6: Final answer
    x = 14,452.22

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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.