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Finding the Fourth Proportional to 7,057.54, 9,739.86 and 4,073.50

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Solution

The fourth proportional to 7,057.54, 9,739.86 and 4,073.50 is: 5,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.54 : 9,739.86 = 4,073.50 : x
  2. Step 2: Convert to fraction form
    7,057.54/9,739.86 = 4,073.50/x
  3. Step 3: Cross multiply
    7,057.54x = 9,739.86 × 4,073.50
  4. Step 4: Simplify right side
    7,057.54x = 39,675,319.71
  5. Step 5: Solve for x
    x = 39,675,319.71/7,057.54
  6. Step 6: Final answer
    x = 5,621.69

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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.