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Finding the Fourth Proportional to 9,952.49, 13,733.44 and 5,702.74

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Solution

The fourth proportional to 9,952.49, 13,733.44 and 5,702.74 is: 7,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.49 : 13,733.44 = 5,702.74 : x
  2. Step 2: Convert to fraction form
    9,952.49/13,733.44 = 5,702.74/x
  3. Step 3: Cross multiply
    9,952.49x = 13,733.44 × 5,702.74
  4. Step 4: Simplify right side
    9,952.49x = 78,318,237.63
  5. Step 5: Solve for x
    x = 78,318,237.63/9,952.49
  6. Step 6: Final answer
    x = 7,869.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.