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Finding the Fourth Proportional to 9,882.12, 14,806.74 and 6,955.20

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Solution

The fourth proportional to 9,882.12, 14,806.74 and 6,955.20 is: 10,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.12 : 14,806.74 = 6,955.20 : x
  2. Step 2: Convert to fraction form
    9,882.12/14,806.74 = 6,955.20/x
  3. Step 3: Cross multiply
    9,882.12x = 14,806.74 × 6,955.20
  4. Step 4: Simplify right side
    9,882.12x = 102,983,838.05
  5. Step 5: Solve for x
    x = 102,983,838.05/9,882.12
  6. Step 6: Final answer
    x = 10,421.23

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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.