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Finding the Fourth Proportional to 12,175.29, 16,802.51 and 7,458.93

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Solution

The fourth proportional to 12,175.29, 16,802.51 and 7,458.93 is: 10,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.29 : 16,802.51 = 7,458.93 : x
  2. Step 2: Convert to fraction form
    12,175.29/16,802.51 = 7,458.93/x
  3. Step 3: Cross multiply
    12,175.29x = 16,802.51 × 7,458.93
  4. Step 4: Simplify right side
    12,175.29x = 125,328,708.62
  5. Step 5: Solve for x
    x = 125,328,708.62/12,175.29
  6. Step 6: Final answer
    x = 10,293.69

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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.