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Finding the Fourth Proportional to 6,646.56, 9,969.02 and 1,716.54

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Solution

The fourth proportional to 6,646.56, 9,969.02 and 1,716.54 is: 2,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.56 : 9,969.02 = 1,716.54 : x
  2. Step 2: Convert to fraction form
    6,646.56/9,969.02 = 1,716.54/x
  3. Step 3: Cross multiply
    6,646.56x = 9,969.02 × 1,716.54
  4. Step 4: Simplify right side
    6,646.56x = 17,112,247.79
  5. Step 5: Solve for x
    x = 17,112,247.79/6,646.56
  6. Step 6: Final answer
    x = 2,574.60

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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.