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Finding the Fourth Proportional to 7,247.90, 10,826.02 and 5,782.88

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Solution

The fourth proportional to 7,247.90, 10,826.02 and 5,782.88 is: 8,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.90 : 10,826.02 = 5,782.88 : x
  2. Step 2: Convert to fraction form
    7,247.90/10,826.02 = 5,782.88/x
  3. Step 3: Cross multiply
    7,247.90x = 10,826.02 × 5,782.88
  4. Step 4: Simplify right side
    7,247.90x = 62,605,574.54
  5. Step 5: Solve for x
    x = 62,605,574.54/7,247.90
  6. Step 6: Final answer
    x = 8,637.75

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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.