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Finding the Fourth Proportional to 8,218, 11,341.08 and 4,492.24

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Solution

The fourth proportional to 8,218, 11,341.08 and 4,492.24 is: 6,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218 : 11,341.08 = 4,492.24 : x
  2. Step 2: Convert to fraction form
    8,218/11,341.08 = 4,492.24/x
  3. Step 3: Cross multiply
    8,218x = 11,341.08 × 4,492.24
  4. Step 4: Simplify right side
    8,218x = 50,946,853.22
  5. Step 5: Solve for x
    x = 50,946,853.22/8,218
  6. Step 6: Final answer
    x = 6,199.42

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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.