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Finding the Fourth Proportional to 9,809.92, 13,539.72 and 6,034.96

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Solution

The fourth proportional to 9,809.92, 13,539.72 and 6,034.96 is: 8,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.92 : 13,539.72 = 6,034.96 : x
  2. Step 2: Convert to fraction form
    9,809.92/13,539.72 = 6,034.96/x
  3. Step 3: Cross multiply
    9,809.92x = 13,539.72 × 6,034.96
  4. Step 4: Simplify right side
    9,809.92x = 81,711,668.61
  5. Step 5: Solve for x
    x = 81,711,668.61/9,809.92
  6. Step 6: Final answer
    x = 8,329.49

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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.