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Finding the Fourth Proportional to 9,797.28, 14,695.68 and 2,401.68

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Solution

The fourth proportional to 9,797.28, 14,695.68 and 2,401.68 is: 3,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.28 : 14,695.68 = 2,401.68 : x
  2. Step 2: Convert to fraction form
    9,797.28/14,695.68 = 2,401.68/x
  3. Step 3: Cross multiply
    9,797.28x = 14,695.68 × 2,401.68
  4. Step 4: Simplify right side
    9,797.28x = 35,294,320.74
  5. Step 5: Solve for x
    x = 35,294,320.74/9,797.28
  6. Step 6: Final answer
    x = 3,602.46

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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.