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Finding the Fourth Proportional to 7,234.60, 10,851.90 and 4,113.40

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Solution

The fourth proportional to 7,234.60, 10,851.90 and 4,113.40 is: 6,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.60 : 10,851.90 = 4,113.40 : x
  2. Step 2: Convert to fraction form
    7,234.60/10,851.90 = 4,113.40/x
  3. Step 3: Cross multiply
    7,234.60x = 10,851.90 × 4,113.40
  4. Step 4: Simplify right side
    7,234.60x = 44,638,205.46
  5. Step 5: Solve for x
    x = 44,638,205.46/7,234.60
  6. Step 6: Final answer
    x = 6,170.10

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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.