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Finding the Fourth Proportional to 12,292.16, 18,407.94 and 7,014.12

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Solution

The fourth proportional to 12,292.16, 18,407.94 and 7,014.12 is: 10,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.16 : 18,407.94 = 7,014.12 : x
  2. Step 2: Convert to fraction form
    12,292.16/18,407.94 = 7,014.12/x
  3. Step 3: Cross multiply
    12,292.16x = 18,407.94 × 7,014.12
  4. Step 4: Simplify right side
    12,292.16x = 129,115,500.11
  5. Step 5: Solve for x
    x = 129,115,500.11/12,292.16
  6. Step 6: Final answer
    x = 10,503.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.