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Finding the Fourth Proportional to 3,313.28, 4,968.70 and 972.68

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Solution

The fourth proportional to 3,313.28, 4,968.70 and 972.68 is: 1,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.28 : 4,968.70 = 972.68 : x
  2. Step 2: Convert to fraction form
    3,313.28/4,968.70 = 972.68/x
  3. Step 3: Cross multiply
    3,313.28x = 4,968.70 × 972.68
  4. Step 4: Simplify right side
    3,313.28x = 4,832,952.68
  5. Step 5: Solve for x
    x = 4,832,952.68/3,313.28
  6. Step 6: Final answer
    x = 1,458.66

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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.