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Finding the Fourth Proportional to 6,596.96, 9,895.42 and 1,666.98

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Solution

The fourth proportional to 6,596.96, 9,895.42 and 1,666.98 is: 2,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.96 : 9,895.42 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    6,596.96/9,895.42 = 1,666.98/x
  3. Step 3: Cross multiply
    6,596.96x = 9,895.42 × 1,666.98
  4. Step 4: Simplify right side
    6,596.96x = 16,495,467.23
  5. Step 5: Solve for x
    x = 16,495,467.23/6,596.96
  6. Step 6: Final answer
    x = 2,500.46

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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.