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Finding the Fourth Proportional to 14,005.94, 19,327.94 and 7,632.58

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Solution

The fourth proportional to 14,005.94, 19,327.94 and 7,632.58 is: 10,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.94 : 19,327.94 = 7,632.58 : x
  2. Step 2: Convert to fraction form
    14,005.94/19,327.94 = 7,632.58/x
  3. Step 3: Cross multiply
    14,005.94x = 19,327.94 × 7,632.58
  4. Step 4: Simplify right side
    14,005.94x = 147,522,048.29
  5. Step 5: Solve for x
    x = 147,522,048.29/14,005.94
  6. Step 6: Final answer
    x = 10,532.82

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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.