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Finding the Fourth Proportional to 11,523.40, 15,900.06 and 6,808.48

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Solution

The fourth proportional to 11,523.40, 15,900.06 and 6,808.48 is: 9,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.40 : 15,900.06 = 6,808.48 : x
  2. Step 2: Convert to fraction form
    11,523.40/15,900.06 = 6,808.48/x
  3. Step 3: Cross multiply
    11,523.40x = 15,900.06 × 6,808.48
  4. Step 4: Simplify right side
    11,523.40x = 108,255,240.51
  5. Step 5: Solve for x
    x = 108,255,240.51/11,523.40
  6. Step 6: Final answer
    x = 9,394.38

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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.