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Finding the Fourth Proportional to 14,234, 19,643.88 and 7,946.52

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Solution

The fourth proportional to 14,234, 19,643.88 and 7,946.52 is: 10,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234 : 19,643.88 = 7,946.52 : x
  2. Step 2: Convert to fraction form
    14,234/19,643.88 = 7,946.52/x
  3. Step 3: Cross multiply
    14,234x = 19,643.88 × 7,946.52
  4. Step 4: Simplify right side
    14,234x = 156,100,485.30
  5. Step 5: Solve for x
    x = 156,100,485.30/14,234
  6. Step 6: Final answer
    x = 10,966.73

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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.