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Finding the Fourth Proportional to 9,792.64, 13,501.92 and 8,529.04

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Solution

The fourth proportional to 9,792.64, 13,501.92 and 8,529.04 is: 11,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.64 : 13,501.92 = 8,529.04 : x
  2. Step 2: Convert to fraction form
    9,792.64/13,501.92 = 8,529.04/x
  3. Step 3: Cross multiply
    9,792.64x = 13,501.92 × 8,529.04
  4. Step 4: Simplify right side
    9,792.64x = 115,158,415.76
  5. Step 5: Solve for x
    x = 115,158,415.76/9,792.64
  6. Step 6: Final answer
    x = 11,759.69

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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.