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Finding the Fourth Proportional to 8,516.40, 12,784.20 and 6,577.20

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Solution

The fourth proportional to 8,516.40, 12,784.20 and 6,577.20 is: 9,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.40 : 12,784.20 = 6,577.20 : x
  2. Step 2: Convert to fraction form
    8,516.40/12,784.20 = 6,577.20/x
  3. Step 3: Cross multiply
    8,516.40x = 12,784.20 × 6,577.20
  4. Step 4: Simplify right side
    8,516.40x = 84,084,240.24
  5. Step 5: Solve for x
    x = 84,084,240.24/8,516.40
  6. Step 6: Final answer
    x = 9,873.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.