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Finding the Fourth Proportional to 8,533.86, 11,776.75 and 4,949.51

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Solution

The fourth proportional to 8,533.86, 11,776.75 and 4,949.51 is: 6,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.86 : 11,776.75 = 4,949.51 : x
  2. Step 2: Convert to fraction form
    8,533.86/11,776.75 = 4,949.51/x
  3. Step 3: Cross multiply
    8,533.86x = 11,776.75 × 4,949.51
  4. Step 4: Simplify right side
    8,533.86x = 58,289,117.68
  5. Step 5: Solve for x
    x = 58,289,117.68/8,533.86
  6. Step 6: Final answer
    x = 6,830.34

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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.