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Finding the Fourth Proportional to 14,002.74, 19,323.70 and 7,629.32

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Solution

The fourth proportional to 14,002.74, 19,323.70 and 7,629.32 is: 10,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.74 : 19,323.70 = 7,629.32 : x
  2. Step 2: Convert to fraction form
    14,002.74/19,323.70 = 7,629.32/x
  3. Step 3: Cross multiply
    14,002.74x = 19,323.70 × 7,629.32
  4. Step 4: Simplify right side
    14,002.74x = 147,426,690.88
  5. Step 5: Solve for x
    x = 147,426,690.88/14,002.74
  6. Step 6: Final answer
    x = 10,528.42

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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.