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Finding the Fourth Proportional to 10,653.74, 14,702.23 and 5,938.32

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Solution

The fourth proportional to 10,653.74, 14,702.23 and 5,938.32 is: 8,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.74 : 14,702.23 = 5,938.32 : x
  2. Step 2: Convert to fraction form
    10,653.74/14,702.23 = 5,938.32/x
  3. Step 3: Cross multiply
    10,653.74x = 14,702.23 × 5,938.32
  4. Step 4: Simplify right side
    10,653.74x = 87,306,546.45
  5. Step 5: Solve for x
    x = 87,306,546.45/10,653.74
  6. Step 6: Final answer
    x = 8,194.92

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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.