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Finding the Fourth Proportional to 10,647.40, 15,938.70 and 8,314.60

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Solution

The fourth proportional to 10,647.40, 15,938.70 and 8,314.60 is: 12,446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.40 : 15,938.70 = 8,314.60 : x
  2. Step 2: Convert to fraction form
    10,647.40/15,938.70 = 8,314.60/x
  3. Step 3: Cross multiply
    10,647.40x = 15,938.70 × 8,314.60
  4. Step 4: Simplify right side
    10,647.40x = 132,523,915.02
  5. Step 5: Solve for x
    x = 132,523,915.02/10,647.40
  6. Step 6: Final answer
    x = 12,446.60

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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.