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Finding the Fourth Proportional to 4,645.68, 6,968.12 and 3,012.50

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Solution

The fourth proportional to 4,645.68, 6,968.12 and 3,012.50 is: 4,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.68 : 6,968.12 = 3,012.50 : x
  2. Step 2: Convert to fraction form
    4,645.68/6,968.12 = 3,012.50/x
  3. Step 3: Cross multiply
    4,645.68x = 6,968.12 × 3,012.50
  4. Step 4: Simplify right side
    4,645.68x = 20,991,461.50
  5. Step 5: Solve for x
    x = 20,991,461.50/4,645.68
  6. Step 6: Final answer
    x = 4,518.49

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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.