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Finding the Fourth Proportional to 7,024.92, 9,694.80 and 4,041.60

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Solution

The fourth proportional to 7,024.92, 9,694.80 and 4,041.60 is: 5,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.92 : 9,694.80 = 4,041.60 : x
  2. Step 2: Convert to fraction form
    7,024.92/9,694.80 = 4,041.60/x
  3. Step 3: Cross multiply
    7,024.92x = 9,694.80 × 4,041.60
  4. Step 4: Simplify right side
    7,024.92x = 39,182,503.68
  5. Step 5: Solve for x
    x = 39,182,503.68/7,024.92
  6. Step 6: Final answer
    x = 5,577.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.