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Finding the Fourth Proportional to 14,319.41, 19,760.88 and 7,946.02

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Solution

The fourth proportional to 14,319.41, 19,760.88 and 7,946.02 is: 10,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.41 : 19,760.88 = 7,946.02 : x
  2. Step 2: Convert to fraction form
    14,319.41/19,760.88 = 7,946.02/x
  3. Step 3: Cross multiply
    14,319.41x = 19,760.88 × 7,946.02
  4. Step 4: Simplify right side
    14,319.41x = 157,020,298.30
  5. Step 5: Solve for x
    x = 157,020,298.30/14,319.41
  6. Step 6: Final answer
    x = 10,965.56

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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.