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Finding the Fourth Proportional to 30,752.44, 46,127.84 and 8,564.92

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Solution

The fourth proportional to 30,752.44, 46,127.84 and 8,564.92 is: 12,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,752.44 : 46,127.84 = 8,564.92 : x
  2. Step 2: Convert to fraction form
    30,752.44/46,127.84 = 8,564.92/x
  3. Step 3: Cross multiply
    30,752.44x = 46,127.84 × 8,564.92
  4. Step 4: Simplify right side
    30,752.44x = 395,081,259.37
  5. Step 5: Solve for x
    x = 395,081,259.37/30,752.44
  6. Step 6: Final answer
    x = 12,847.15

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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.