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Finding the Fourth Proportional to 14,336.25, 19,784.04 and 8,048.64

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Solution

The fourth proportional to 14,336.25, 19,784.04 and 8,048.64 is: 11,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.25 : 19,784.04 = 8,048.64 : x
  2. Step 2: Convert to fraction form
    14,336.25/19,784.04 = 8,048.64/x
  3. Step 3: Cross multiply
    14,336.25x = 19,784.04 × 8,048.64
  4. Step 4: Simplify right side
    14,336.25x = 159,234,615.71
  5. Step 5: Solve for x
    x = 159,234,615.71/14,336.25
  6. Step 6: Final answer
    x = 11,107.13

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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.