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Finding the Fourth Proportional to 10,829.16, 16,243.71 and 8,860.86

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Solution

The fourth proportional to 10,829.16, 16,243.71 and 8,860.86 is: 13,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.16 : 16,243.71 = 8,860.86 : x
  2. Step 2: Convert to fraction form
    10,829.16/16,243.71 = 8,860.86/x
  3. Step 3: Cross multiply
    10,829.16x = 16,243.71 × 8,860.86
  4. Step 4: Simplify right side
    10,829.16x = 143,933,240.19
  5. Step 5: Solve for x
    x = 143,933,240.19/10,829.16
  6. Step 6: Final answer
    x = 13,291.27

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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.