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Finding the Fourth Proportional to 10,602.60, 14,628.96 and 6,354.34

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Solution

The fourth proportional to 10,602.60, 14,628.96 and 6,354.34 is: 8,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.60 : 14,628.96 = 6,354.34 : x
  2. Step 2: Convert to fraction form
    10,602.60/14,628.96 = 6,354.34/x
  3. Step 3: Cross multiply
    10,602.60x = 14,628.96 × 6,354.34
  4. Step 4: Simplify right side
    10,602.60x = 92,957,385.69
  5. Step 5: Solve for x
    x = 92,957,385.69/10,602.60
  6. Step 6: Final answer
    x = 8,767.41

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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.