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Finding the Fourth Proportional to 9,928.98, 14,951.16 and 7,174.44

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Solution

The fourth proportional to 9,928.98, 14,951.16 and 7,174.44 is: 10,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.98 : 14,951.16 = 7,174.44 : x
  2. Step 2: Convert to fraction form
    9,928.98/14,951.16 = 7,174.44/x
  3. Step 3: Cross multiply
    9,928.98x = 14,951.16 × 7,174.44
  4. Step 4: Simplify right side
    9,928.98x = 107,266,200.35
  5. Step 5: Solve for x
    x = 107,266,200.35/9,928.98
  6. Step 6: Final answer
    x = 10,803.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.