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Finding the Fourth Proportional to 8,582.02, 11,843.40 and 4,805.16

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Solution

The fourth proportional to 8,582.02, 11,843.40 and 4,805.16 is: 6,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.02 : 11,843.40 = 4,805.16 : x
  2. Step 2: Convert to fraction form
    8,582.02/11,843.40 = 4,805.16/x
  3. Step 3: Cross multiply
    8,582.02x = 11,843.40 × 4,805.16
  4. Step 4: Simplify right side
    8,582.02x = 56,909,431.94
  5. Step 5: Solve for x
    x = 56,909,431.94/8,582.02
  6. Step 6: Final answer
    x = 6,631.24

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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.