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Finding the Fourth Proportional to 6,531.99, 9,798.10 and 1,601.66

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Solution

The fourth proportional to 6,531.99, 9,798.10 and 1,601.66 is: 2,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.99 : 9,798.10 = 1,601.66 : x
  2. Step 2: Convert to fraction form
    6,531.99/9,798.10 = 1,601.66/x
  3. Step 3: Cross multiply
    6,531.99x = 9,798.10 × 1,601.66
  4. Step 4: Simplify right side
    6,531.99x = 15,693,245.34
  5. Step 5: Solve for x
    x = 15,693,245.34/6,531.99
  6. Step 6: Final answer
    x = 2,402.52

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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.