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Finding the Fourth Proportional to 10,702.74, 16,054.08 and 5,774.70

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Solution

The fourth proportional to 10,702.74, 16,054.08 and 5,774.70 is: 8,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.74 : 16,054.08 = 5,774.70 : x
  2. Step 2: Convert to fraction form
    10,702.74/16,054.08 = 5,774.70/x
  3. Step 3: Cross multiply
    10,702.74x = 16,054.08 × 5,774.70
  4. Step 4: Simplify right side
    10,702.74x = 92,707,495.78
  5. Step 5: Solve for x
    x = 92,707,495.78/10,702.74
  6. Step 6: Final answer
    x = 8,662.03

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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.