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Finding the Fourth Proportional to 8,583, 11,844.78 and 4,857.24

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Solution

The fourth proportional to 8,583, 11,844.78 and 4,857.24 is: 6,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583 : 11,844.78 = 4,857.24 : x
  2. Step 2: Convert to fraction form
    8,583/11,844.78 = 4,857.24/x
  3. Step 3: Cross multiply
    8,583x = 11,844.78 × 4,857.24
  4. Step 4: Simplify right side
    8,583x = 57,532,939.21
  5. Step 5: Solve for x
    x = 57,532,939.21/8,583
  6. Step 6: Final answer
    x = 6,703.13

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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.