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Finding the Fourth Proportional to 7,057.58, 9,740.73 and 4,073.00

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Solution

The fourth proportional to 7,057.58, 9,740.73 and 4,073.00 is: 5,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.58 : 9,740.73 = 4,073.00 : x
  2. Step 2: Convert to fraction form
    7,057.58/9,740.73 = 4,073.00/x
  3. Step 3: Cross multiply
    7,057.58x = 9,740.73 × 4,073.00
  4. Step 4: Simplify right side
    7,057.58x = 39,673,924.22
  5. Step 5: Solve for x
    x = 39,673,924.22/7,057.58
  6. Step 6: Final answer
    x = 5,621.47

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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.