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Finding the Fourth Proportional to 11,792.66, 16,271.70 and 7,014.20

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Solution

The fourth proportional to 11,792.66, 16,271.70 and 7,014.20 is: 9,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.66 : 16,271.70 = 7,014.20 : x
  2. Step 2: Convert to fraction form
    11,792.66/16,271.70 = 7,014.20/x
  3. Step 3: Cross multiply
    11,792.66x = 16,271.70 × 7,014.20
  4. Step 4: Simplify right side
    11,792.66x = 114,132,958.14
  5. Step 5: Solve for x
    x = 114,132,958.14/11,792.66
  6. Step 6: Final answer
    x = 9,678.30

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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.