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Finding the Fourth Proportional to 8,533, 11,777.70 and 4,809.16

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Solution

The fourth proportional to 8,533, 11,777.70 and 4,809.16 is: 6,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533 : 11,777.70 = 4,809.16 : x
  2. Step 2: Convert to fraction form
    8,533/11,777.70 = 4,809.16/x
  3. Step 3: Cross multiply
    8,533x = 11,777.70 × 4,809.16
  4. Step 4: Simplify right side
    8,533x = 56,640,843.73
  5. Step 5: Solve for x
    x = 56,640,843.73/8,533
  6. Step 6: Final answer
    x = 6,637.86

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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.