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Finding the Fourth Proportional to 6,445.76, 9,666.14 and 2,284.99

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Solution

The fourth proportional to 6,445.76, 9,666.14 and 2,284.99 is: 3,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.76 : 9,666.14 = 2,284.99 : x
  2. Step 2: Convert to fraction form
    6,445.76/9,666.14 = 2,284.99/x
  3. Step 3: Cross multiply
    6,445.76x = 9,666.14 × 2,284.99
  4. Step 4: Simplify right side
    6,445.76x = 22,086,997.65
  5. Step 5: Solve for x
    x = 22,086,997.65/6,445.76
  6. Step 6: Final answer
    x = 3,426.60

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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.