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Finding the Fourth Proportional to 10,602.96, 14,630.76 and 6,623.28

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Solution

The fourth proportional to 10,602.96, 14,630.76 and 6,623.28 is: 9,139.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.96 : 14,630.76 = 6,623.28 : x
  2. Step 2: Convert to fraction form
    10,602.96/14,630.76 = 6,623.28/x
  3. Step 3: Cross multiply
    10,602.96x = 14,630.76 × 6,623.28
  4. Step 4: Simplify right side
    10,602.96x = 96,903,620.09
  5. Step 5: Solve for x
    x = 96,903,620.09/10,602.96
  6. Step 6: Final answer
    x = 9,139.30

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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.