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Finding the Fourth Proportional to 9,905.76, 14,770.08 and 9,633.60

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Solution

The fourth proportional to 9,905.76, 14,770.08 and 9,633.60 is: 14,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.76 : 14,770.08 = 9,633.60 : x
  2. Step 2: Convert to fraction form
    9,905.76/14,770.08 = 9,633.60/x
  3. Step 3: Cross multiply
    9,905.76x = 14,770.08 × 9,633.60
  4. Step 4: Simplify right side
    9,905.76x = 142,289,042.69
  5. Step 5: Solve for x
    x = 142,289,042.69/9,905.76
  6. Step 6: Final answer
    x = 14,364.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.