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Finding the Fourth Proportional to 10,697.76, 14,770.80 and 6,923.20

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Solution

The fourth proportional to 10,697.76, 14,770.80 and 6,923.20 is: 9,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.76 : 14,770.80 = 6,923.20 : x
  2. Step 2: Convert to fraction form
    10,697.76/14,770.80 = 6,923.20/x
  3. Step 3: Cross multiply
    10,697.76x = 14,770.80 × 6,923.20
  4. Step 4: Simplify right side
    10,697.76x = 102,261,202.56
  5. Step 5: Solve for x
    x = 102,261,202.56/10,697.76
  6. Step 6: Final answer
    x = 9,559.12

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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.