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Finding the Fourth Proportional to 6,457.19, 9,684.51 and 1,775.99

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Solution

The fourth proportional to 6,457.19, 9,684.51 and 1,775.99 is: 2,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.19 : 9,684.51 = 1,775.99 : x
  2. Step 2: Convert to fraction form
    6,457.19/9,684.51 = 1,775.99/x
  3. Step 3: Cross multiply
    6,457.19x = 9,684.51 × 1,775.99
  4. Step 4: Simplify right side
    6,457.19x = 17,199,592.91
  5. Step 5: Solve for x
    x = 17,199,592.91/6,457.19
  6. Step 6: Final answer
    x = 2,663.63

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