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Finding the Fourth Proportional to 14,007, 19,329.90 and 9,047.64

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Solution

The fourth proportional to 14,007, 19,329.90 and 9,047.64 is: 12,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007 : 19,329.90 = 9,047.64 : x
  2. Step 2: Convert to fraction form
    14,007/19,329.90 = 9,047.64/x
  3. Step 3: Cross multiply
    14,007x = 19,329.90 × 9,047.64
  4. Step 4: Simplify right side
    14,007x = 174,889,976.44
  5. Step 5: Solve for x
    x = 174,889,976.44/14,007
  6. Step 6: Final answer
    x = 12,485.90

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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.