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Finding the Fourth Proportional to 10,806.80, 14,914.86 and 6,332.34

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Solution

The fourth proportional to 10,806.80, 14,914.86 and 6,332.34 is: 8,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.80 : 14,914.86 = 6,332.34 : x
  2. Step 2: Convert to fraction form
    10,806.80/14,914.86 = 6,332.34/x
  3. Step 3: Cross multiply
    10,806.80x = 14,914.86 × 6,332.34
  4. Step 4: Simplify right side
    10,806.80x = 94,445,964.57
  5. Step 5: Solve for x
    x = 94,445,964.57/10,806.80
  6. Step 6: Final answer
    x = 8,739.49

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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.