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Finding the Fourth Proportional to 9,797.70, 13,527.87 and 6,025.94

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Solution

The fourth proportional to 9,797.70, 13,527.87 and 6,025.94 is: 8,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.70 : 13,527.87 = 6,025.94 : x
  2. Step 2: Convert to fraction form
    9,797.70/13,527.87 = 6,025.94/x
  3. Step 3: Cross multiply
    9,797.70x = 13,527.87 × 6,025.94
  4. Step 4: Simplify right side
    9,797.70x = 81,518,132.95
  5. Step 5: Solve for x
    x = 81,518,132.95/9,797.70
  6. Step 6: Final answer
    x = 8,320.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.