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Finding the Fourth Proportional to 10,649.76, 14,695.92 and 5,934.30

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Solution

The fourth proportional to 10,649.76, 14,695.92 and 5,934.30 is: 8,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.76 : 14,695.92 = 5,934.30 : x
  2. Step 2: Convert to fraction form
    10,649.76/14,695.92 = 5,934.30/x
  3. Step 3: Cross multiply
    10,649.76x = 14,695.92 × 5,934.30
  4. Step 4: Simplify right side
    10,649.76x = 87,209,998.06
  5. Step 5: Solve for x
    x = 87,209,998.06/10,649.76
  6. Step 6: Final answer
    x = 8,188.92

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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.