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Finding the Fourth Proportional to 10,717.80, 16,076.70 and 9,421.80

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Solution

The fourth proportional to 10,717.80, 16,076.70 and 9,421.80 is: 14,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.80 : 16,076.70 = 9,421.80 : x
  2. Step 2: Convert to fraction form
    10,717.80/16,076.70 = 9,421.80/x
  3. Step 3: Cross multiply
    10,717.80x = 16,076.70 × 9,421.80
  4. Step 4: Simplify right side
    10,717.80x = 151,471,452.06
  5. Step 5: Solve for x
    x = 151,471,452.06/10,717.80
  6. Step 6: Final answer
    x = 14,132.70

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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.