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Finding the Fourth Proportional to 30,911.76, 46,367.13 and 9,851.52

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Solution

The fourth proportional to 30,911.76, 46,367.13 and 9,851.52 is: 14,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.76 : 46,367.13 = 9,851.52 : x
  2. Step 2: Convert to fraction form
    30,911.76/46,367.13 = 9,851.52/x
  3. Step 3: Cross multiply
    30,911.76x = 46,367.13 × 9,851.52
  4. Step 4: Simplify right side
    30,911.76x = 456,786,708.54
  5. Step 5: Solve for x
    x = 456,786,708.54/30,911.76
  6. Step 6: Final answer
    x = 14,777.12

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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.