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Finding the Fourth Proportional to 9,152.77, 13,696.35 and 7,924.42

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Solution

The fourth proportional to 9,152.77, 13,696.35 and 7,924.42 is: 11,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.77 : 13,696.35 = 7,924.42 : x
  2. Step 2: Convert to fraction form
    9,152.77/13,696.35 = 7,924.42/x
  3. Step 3: Cross multiply
    9,152.77x = 13,696.35 × 7,924.42
  4. Step 4: Simplify right side
    9,152.77x = 108,535,629.87
  5. Step 5: Solve for x
    x = 108,535,629.87/9,152.77
  6. Step 6: Final answer
    x = 11,858.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.