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Finding the Fourth Proportional to 8,235.66, 11,365.16 and 4,698.66

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Solution

The fourth proportional to 8,235.66, 11,365.16 and 4,698.66 is: 6,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.66 : 11,365.16 = 4,698.66 : x
  2. Step 2: Convert to fraction form
    8,235.66/11,365.16 = 4,698.66/x
  3. Step 3: Cross multiply
    8,235.66x = 11,365.16 × 4,698.66
  4. Step 4: Simplify right side
    8,235.66x = 53,401,022.69
  5. Step 5: Solve for x
    x = 53,401,022.69/8,235.66
  6. Step 6: Final answer
    x = 6,484.12

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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.