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Finding the Fourth Proportional to 8,698.86, 12,002.58 and 5,163.22

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Solution

The fourth proportional to 8,698.86, 12,002.58 and 5,163.22 is: 7,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.86 : 12,002.58 = 5,163.22 : x
  2. Step 2: Convert to fraction form
    8,698.86/12,002.58 = 5,163.22/x
  3. Step 3: Cross multiply
    8,698.86x = 12,002.58 × 5,163.22
  4. Step 4: Simplify right side
    8,698.86x = 61,971,961.11
  5. Step 5: Solve for x
    x = 61,971,961.11/8,698.86
  6. Step 6: Final answer
    x = 7,124.15

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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.