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Finding the Fourth Proportional to 14,706.64, 20,284.89 and 9,669.25

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Solution

The fourth proportional to 14,706.64, 20,284.89 and 9,669.25 is: 13,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.64 : 20,284.89 = 9,669.25 : x
  2. Step 2: Convert to fraction form
    14,706.64/20,284.89 = 9,669.25/x
  3. Step 3: Cross multiply
    14,706.64x = 20,284.89 × 9,669.25
  4. Step 4: Simplify right side
    14,706.64x = 196,139,595.38
  5. Step 5: Solve for x
    x = 196,139,595.38/14,706.64
  6. Step 6: Final answer
    x = 13,336.81

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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.