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Finding the Fourth Proportional to 9,602.76, 14,403.46 and 5,905.56

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Solution

The fourth proportional to 9,602.76, 14,403.46 and 5,905.56 is: 8,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.76 : 14,403.46 = 5,905.56 : x
  2. Step 2: Convert to fraction form
    9,602.76/14,403.46 = 5,905.56/x
  3. Step 3: Cross multiply
    9,602.76x = 14,403.46 × 5,905.56
  4. Step 4: Simplify right side
    9,602.76x = 85,060,497.24
  5. Step 5: Solve for x
    x = 85,060,497.24/9,602.76
  6. Step 6: Final answer
    x = 8,857.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.