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Finding the Fourth Proportional to 6,457.01, 9,684.24 and 1,775.81

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Solution

The fourth proportional to 6,457.01, 9,684.24 and 1,775.81 is: 2,663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.01 : 9,684.24 = 1,775.81 : x
  2. Step 2: Convert to fraction form
    6,457.01/9,684.24 = 1,775.81/x
  3. Step 3: Cross multiply
    6,457.01x = 9,684.24 × 1,775.81
  4. Step 4: Simplify right side
    6,457.01x = 17,197,376.66
  5. Step 5: Solve for x
    x = 17,197,376.66/6,457.01
  6. Step 6: Final answer
    x = 2,663.36

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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.