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Finding the Fourth Proportional to 12,402.86, 17,114.14 and 7,096.68

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Solution

The fourth proportional to 12,402.86, 17,114.14 and 7,096.68 is: 9,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.86 : 17,114.14 = 7,096.68 : x
  2. Step 2: Convert to fraction form
    12,402.86/17,114.14 = 7,096.68/x
  3. Step 3: Cross multiply
    12,402.86x = 17,114.14 × 7,096.68
  4. Step 4: Simplify right side
    12,402.86x = 121,453,575.06
  5. Step 5: Solve for x
    x = 121,453,575.06/12,402.86
  6. Step 6: Final answer
    x = 9,792.38

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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.