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Finding the Fourth Proportional to 9,792.82, 13,509.69 and 6,605.08

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Solution

The fourth proportional to 9,792.82, 13,509.69 and 6,605.08 is: 9,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.82 : 13,509.69 = 6,605.08 : x
  2. Step 2: Convert to fraction form
    9,792.82/13,509.69 = 6,605.08/x
  3. Step 3: Cross multiply
    9,792.82x = 13,509.69 × 6,605.08
  4. Step 4: Simplify right side
    9,792.82x = 89,232,532.19
  5. Step 5: Solve for x
    x = 89,232,532.19/9,792.82
  6. Step 6: Final answer
    x = 9,112.04

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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.