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Finding the Fourth Proportional to 4,053.38, 6,080.06 and 975.38

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Solution

The fourth proportional to 4,053.38, 6,080.06 and 975.38 is: 1,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.38 : 6,080.06 = 975.38 : x
  2. Step 2: Convert to fraction form
    4,053.38/6,080.06 = 975.38/x
  3. Step 3: Cross multiply
    4,053.38x = 6,080.06 × 975.38
  4. Step 4: Simplify right side
    4,053.38x = 5,930,340.96
  5. Step 5: Solve for x
    x = 5,930,340.96/4,053.38
  6. Step 6: Final answer
    x = 1,463.06

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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.