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Finding the Fourth Proportional to 14,233.96, 19,642.98 and 7,946.20

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Solution

The fourth proportional to 14,233.96, 19,642.98 and 7,946.20 is: 10,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.96 : 19,642.98 = 7,946.20 : x
  2. Step 2: Convert to fraction form
    14,233.96/19,642.98 = 7,946.20/x
  3. Step 3: Cross multiply
    14,233.96x = 19,642.98 × 7,946.20
  4. Step 4: Simplify right side
    14,233.96x = 156,087,047.68
  5. Step 5: Solve for x
    x = 156,087,047.68/14,233.96
  6. Step 6: Final answer
    x = 10,965.82

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Double scale
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Similar ratio
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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.