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Finding the Fourth Proportional to 9,925.68, 13,696.92 and 6,782.64

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Solution

The fourth proportional to 9,925.68, 13,696.92 and 6,782.64 is: 9,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.68 : 13,696.92 = 6,782.64 : x
  2. Step 2: Convert to fraction form
    9,925.68/13,696.92 = 6,782.64/x
  3. Step 3: Cross multiply
    9,925.68x = 13,696.92 × 6,782.64
  4. Step 4: Simplify right side
    9,925.68x = 92,901,277.47
  5. Step 5: Solve for x
    x = 92,901,277.47/9,925.68
  6. Step 6: Final answer
    x = 9,359.69

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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.