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Finding the Fourth Proportional to 10,702.40, 16,033.20 and 5,770.40

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Solution

The fourth proportional to 10,702.40, 16,033.20 and 5,770.40 is: 8,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.40 : 16,033.20 = 5,770.40 : x
  2. Step 2: Convert to fraction form
    10,702.40/16,033.20 = 5,770.40/x
  3. Step 3: Cross multiply
    10,702.40x = 16,033.20 × 5,770.40
  4. Step 4: Simplify right side
    10,702.40x = 92,517,977.28
  5. Step 5: Solve for x
    x = 92,517,977.28/10,702.40
  6. Step 6: Final answer
    x = 8,644.60

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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.