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Finding the Fourth Proportional to 12,200.58, 16,828.32 and 9,679.16

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Solution

The fourth proportional to 12,200.58, 16,828.32 and 9,679.16 is: 13,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.58 : 16,828.32 = 9,679.16 : x
  2. Step 2: Convert to fraction form
    12,200.58/16,828.32 = 9,679.16/x
  3. Step 3: Cross multiply
    12,200.58x = 16,828.32 × 9,679.16
  4. Step 4: Simplify right side
    12,200.58x = 162,884,001.81
  5. Step 5: Solve for x
    x = 162,884,001.81/12,200.58
  6. Step 6: Final answer
    x = 13,350.51

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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.