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Finding the Fourth Proportional to 9,728.65, 14,495 and 9,092.12

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Solution

The fourth proportional to 9,728.65, 14,495 and 9,092.12 is: 13,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.65 : 14,495 = 9,092.12 : x
  2. Step 2: Convert to fraction form
    9,728.65/14,495 = 9,092.12/x
  3. Step 3: Cross multiply
    9,728.65x = 14,495 × 9,092.12
  4. Step 4: Simplify right side
    9,728.65x = 131,790,279.40
  5. Step 5: Solve for x
    x = 131,790,279.40/9,728.65
  6. Step 6: Final answer
    x = 13,546.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.