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Finding the Fourth Proportional to 11,448.25, 15,798.84 and 6,412.84

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Solution

The fourth proportional to 11,448.25, 15,798.84 and 6,412.84 is: 8,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.25 : 15,798.84 = 6,412.84 : x
  2. Step 2: Convert to fraction form
    11,448.25/15,798.84 = 6,412.84/x
  3. Step 3: Cross multiply
    11,448.25x = 15,798.84 × 6,412.84
  4. Step 4: Simplify right side
    11,448.25x = 101,315,354.11
  5. Step 5: Solve for x
    x = 101,315,354.11/11,448.25
  6. Step 6: Final answer
    x = 8,849.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.