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Finding the Fourth Proportional to 7,574.90, 11,301.51 and 6,743.30

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Solution

The fourth proportional to 7,574.90, 11,301.51 and 6,743.30 is: 10,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.90 : 11,301.51 = 6,743.30 : x
  2. Step 2: Convert to fraction form
    7,574.90/11,301.51 = 6,743.30/x
  3. Step 3: Cross multiply
    7,574.90x = 11,301.51 × 6,743.30
  4. Step 4: Simplify right side
    7,574.90x = 76,209,438.67
  5. Step 5: Solve for x
    x = 76,209,438.67/7,574.90
  6. Step 6: Final answer
    x = 10,060.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.