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Finding the Fourth Proportional to 12,174.96, 16,802.52 and 6,869.52

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Solution

The fourth proportional to 12,174.96, 16,802.52 and 6,869.52 is: 9,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.96 : 16,802.52 = 6,869.52 : x
  2. Step 2: Convert to fraction form
    12,174.96/16,802.52 = 6,869.52/x
  3. Step 3: Cross multiply
    12,174.96x = 16,802.52 × 6,869.52
  4. Step 4: Simplify right side
    12,174.96x = 115,425,247.19
  5. Step 5: Solve for x
    x = 115,425,247.19/12,174.96
  6. Step 6: Final answer
    x = 9,480.54

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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.