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Finding the Fourth Proportional to 9,770.24, 14,649.72 and 8,602.58

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Solution

The fourth proportional to 9,770.24, 14,649.72 and 8,602.58 is: 12,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.24 : 14,649.72 = 8,602.58 : x
  2. Step 2: Convert to fraction form
    9,770.24/14,649.72 = 8,602.58/x
  3. Step 3: Cross multiply
    9,770.24x = 14,649.72 × 8,602.58
  4. Step 4: Simplify right side
    9,770.24x = 126,025,388.28
  5. Step 5: Solve for x
    x = 126,025,388.28/9,770.24
  6. Step 6: Final answer
    x = 12,898.90

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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.