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Finding the Fourth Proportional to 12,929.14, 17,841.16 and 7,263.58

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Solution

The fourth proportional to 12,929.14, 17,841.16 and 7,263.58 is: 10,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.14 : 17,841.16 = 7,263.58 : x
  2. Step 2: Convert to fraction form
    12,929.14/17,841.16 = 7,263.58/x
  3. Step 3: Cross multiply
    12,929.14x = 17,841.16 × 7,263.58
  4. Step 4: Simplify right side
    12,929.14x = 129,590,567.43
  5. Step 5: Solve for x
    x = 129,590,567.43/12,929.14
  6. Step 6: Final answer
    x = 10,023.14

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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.