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Finding the Fourth Proportional to 10,697.58, 14,757.75 and 6,921.98

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Solution

The fourth proportional to 10,697.58, 14,757.75 and 6,921.98 is: 9,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.58 : 14,757.75 = 6,921.98 : x
  2. Step 2: Convert to fraction form
    10,697.58/14,757.75 = 6,921.98/x
  3. Step 3: Cross multiply
    10,697.58x = 14,757.75 × 6,921.98
  4. Step 4: Simplify right side
    10,697.58x = 102,152,776.56
  5. Step 5: Solve for x
    x = 102,152,776.56/10,697.58
  6. Step 6: Final answer
    x = 9,549.15

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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.