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Finding the Fourth Proportional to 5,984.10, 8,152.20 and 5,984.10

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Solution

The fourth proportional to 5,984.10, 8,152.20 and 5,984.10 is: 8,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.10 : 8,152.20 = 5,984.10 : x
  2. Step 2: Convert to fraction form
    5,984.10/8,152.20 = 5,984.10/x
  3. Step 3: Cross multiply
    5,984.10x = 8,152.20 × 5,984.10
  4. Step 4: Simplify right side
    5,984.10x = 48,783,580.02
  5. Step 5: Solve for x
    x = 48,783,580.02/5,984.10
  6. Step 6: Final answer
    x = 8,152.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.