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Finding the Fourth Proportional to 8,566.92, 11,818.80 and 5,209.20

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Solution

The fourth proportional to 8,566.92, 11,818.80 and 5,209.20 is: 7,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.92 : 11,818.80 = 5,209.20 : x
  2. Step 2: Convert to fraction form
    8,566.92/11,818.80 = 5,209.20/x
  3. Step 3: Cross multiply
    8,566.92x = 11,818.80 × 5,209.20
  4. Step 4: Simplify right side
    8,566.92x = 61,566,492.96
  5. Step 5: Solve for x
    x = 61,566,492.96/8,566.92
  6. Step 6: Final answer
    x = 7,186.54

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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.