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Finding the Fourth Proportional to 6,597.11, 9,895.34 and 1,666.46

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Solution

The fourth proportional to 6,597.11, 9,895.34 and 1,666.46 is: 2,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.11 : 9,895.34 = 1,666.46 : x
  2. Step 2: Convert to fraction form
    6,597.11/9,895.34 = 1,666.46/x
  3. Step 3: Cross multiply
    6,597.11x = 9,895.34 × 1,666.46
  4. Step 4: Simplify right side
    6,597.11x = 16,490,217.20
  5. Step 5: Solve for x
    x = 16,490,217.20/6,597.11
  6. Step 6: Final answer
    x = 2,499.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.