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Finding the Fourth Proportional to 9,672.52, 14,506.45 and 6,157.25

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Solution

The fourth proportional to 9,672.52, 14,506.45 and 6,157.25 is: 9,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.52 : 14,506.45 = 6,157.25 : x
  2. Step 2: Convert to fraction form
    9,672.52/14,506.45 = 6,157.25/x
  3. Step 3: Cross multiply
    9,672.52x = 14,506.45 × 6,157.25
  4. Step 4: Simplify right side
    9,672.52x = 89,319,860.14
  5. Step 5: Solve for x
    x = 89,319,860.14/9,672.52
  6. Step 6: Final answer
    x = 9,234.40

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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.