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Finding the Fourth Proportional to 8,259.84, 11,398.44 and 4,533.84

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Solution

The fourth proportional to 8,259.84, 11,398.44 and 4,533.84 is: 6,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.84 : 11,398.44 = 4,533.84 : x
  2. Step 2: Convert to fraction form
    8,259.84/11,398.44 = 4,533.84/x
  3. Step 3: Cross multiply
    8,259.84x = 11,398.44 × 4,533.84
  4. Step 4: Simplify right side
    8,259.84x = 51,678,703.21
  5. Step 5: Solve for x
    x = 51,678,703.21/8,259.84
  6. Step 6: Final answer
    x = 6,256.62

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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.