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Finding the Fourth Proportional to 6,095.20, 8,516 and 6,095.20

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Solution

The fourth proportional to 6,095.20, 8,516 and 6,095.20 is: 8,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.20 : 8,516 = 6,095.20 : x
  2. Step 2: Convert to fraction form
    6,095.20/8,516 = 6,095.20/x
  3. Step 3: Cross multiply
    6,095.20x = 8,516 × 6,095.20
  4. Step 4: Simplify right side
    6,095.20x = 51,906,723.20
  5. Step 5: Solve for x
    x = 51,906,723.20/6,095.20
  6. Step 6: Final answer
    x = 8,516

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.