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Finding the Fourth Proportional to 5,048.51, 7,574.03 and 1,761.63

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Solution

The fourth proportional to 5,048.51, 7,574.03 and 1,761.63 is: 2,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.51 : 7,574.03 = 1,761.63 : x
  2. Step 2: Convert to fraction form
    5,048.51/7,574.03 = 1,761.63/x
  3. Step 3: Cross multiply
    5,048.51x = 7,574.03 × 1,761.63
  4. Step 4: Simplify right side
    5,048.51x = 13,342,638.47
  5. Step 5: Solve for x
    x = 13,342,638.47/5,048.51
  6. Step 6: Final answer
    x = 2,642.89

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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.