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Finding the Fourth Proportional to 9,794.64, 14,614.80 and 9,199.38

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Solution

The fourth proportional to 9,794.64, 14,614.80 and 9,199.38 is: 13,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.64 : 14,614.80 = 9,199.38 : x
  2. Step 2: Convert to fraction form
    9,794.64/14,614.80 = 9,199.38/x
  3. Step 3: Cross multiply
    9,794.64x = 14,614.80 × 9,199.38
  4. Step 4: Simplify right side
    9,794.64x = 134,447,098.82
  5. Step 5: Solve for x
    x = 134,447,098.82/9,794.64
  6. Step 6: Final answer
    x = 13,726.60

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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.