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Finding the Fourth Proportional to 9,699.92, 13,376.04 and 7,925.84

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Solution

The fourth proportional to 9,699.92, 13,376.04 and 7,925.84 is: 10,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.92 : 13,376.04 = 7,925.84 : x
  2. Step 2: Convert to fraction form
    9,699.92/13,376.04 = 7,925.84/x
  3. Step 3: Cross multiply
    9,699.92x = 13,376.04 × 7,925.84
  4. Step 4: Simplify right side
    9,699.92x = 106,016,352.87
  5. Step 5: Solve for x
    x = 106,016,352.87/9,699.92
  6. Step 6: Final answer
    x = 10,929.61

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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.