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Finding the Fourth Proportional to 11,486.24, 15,852.47 and 7,009.04

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Solution

The fourth proportional to 11,486.24, 15,852.47 and 7,009.04 is: 9,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.24 : 15,852.47 = 7,009.04 : x
  2. Step 2: Convert to fraction form
    11,486.24/15,852.47 = 7,009.04/x
  3. Step 3: Cross multiply
    11,486.24x = 15,852.47 × 7,009.04
  4. Step 4: Simplify right side
    11,486.24x = 111,110,596.33
  5. Step 5: Solve for x
    x = 111,110,596.33/11,486.24
  6. Step 6: Final answer
    x = 9,673.37

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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.