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Finding the Fourth Proportional to 3,313.35, 4,968.75 and 972.57

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Solution

The fourth proportional to 3,313.35, 4,968.75 and 972.57 is: 1,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.35 : 4,968.75 = 972.57 : x
  2. Step 2: Convert to fraction form
    3,313.35/4,968.75 = 972.57/x
  3. Step 3: Cross multiply
    3,313.35x = 4,968.75 × 972.57
  4. Step 4: Simplify right side
    3,313.35x = 4,832,457.19
  5. Step 5: Solve for x
    x = 4,832,457.19/3,313.35
  6. Step 6: Final answer
    x = 1,458.48

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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.