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Finding the Fourth Proportional to 8,774.92, 12,109.22 and 4,796.07

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Solution

The fourth proportional to 8,774.92, 12,109.22 and 4,796.07 is: 6,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.92 : 12,109.22 = 4,796.07 : x
  2. Step 2: Convert to fraction form
    8,774.92/12,109.22 = 4,796.07/x
  3. Step 3: Cross multiply
    8,774.92x = 12,109.22 × 4,796.07
  4. Step 4: Simplify right side
    8,774.92x = 58,076,582.24
  5. Step 5: Solve for x
    x = 58,076,582.24/8,774.92
  6. Step 6: Final answer
    x = 6,618.47

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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.