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Finding the Fourth Proportional to 6,176.42, 8,516.02 and 4,913.62

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Solution

The fourth proportional to 6,176.42, 8,516.02 and 4,913.62 is: 6,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.42 : 8,516.02 = 4,913.62 : x
  2. Step 2: Convert to fraction form
    6,176.42/8,516.02 = 4,913.62/x
  3. Step 3: Cross multiply
    6,176.42x = 8,516.02 × 4,913.62
  4. Step 4: Simplify right side
    6,176.42x = 41,844,486.19
  5. Step 5: Solve for x
    x = 41,844,486.19/6,176.42
  6. Step 6: Final answer
    x = 6,774.88

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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.