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Finding the Fourth Proportional to 9,797.06, 14,695.50 and 2,401.56

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Solution

The fourth proportional to 9,797.06, 14,695.50 and 2,401.56 is: 3,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.06 : 14,695.50 = 2,401.56 : x
  2. Step 2: Convert to fraction form
    9,797.06/14,695.50 = 2,401.56/x
  3. Step 3: Cross multiply
    9,797.06x = 14,695.50 × 2,401.56
  4. Step 4: Simplify right side
    9,797.06x = 35,292,124.98
  5. Step 5: Solve for x
    x = 35,292,124.98/9,797.06
  6. Step 6: Final answer
    x = 3,602.32

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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.