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Finding the Fourth Proportional to 9,782.64, 14,596.92 and 9,187.38

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Solution

The fourth proportional to 9,782.64, 14,596.92 and 9,187.38 is: 13,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.64 : 14,596.92 = 9,187.38 : x
  2. Step 2: Convert to fraction form
    9,782.64/14,596.92 = 9,187.38/x
  3. Step 3: Cross multiply
    9,782.64x = 14,596.92 × 9,187.38
  4. Step 4: Simplify right side
    9,782.64x = 134,107,450.87
  5. Step 5: Solve for x
    x = 134,107,450.87/9,782.64
  6. Step 6: Final answer
    x = 13,708.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.