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Finding the Fourth Proportional to 10,482.44, 14,471.76 and 6,950.46

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Solution

The fourth proportional to 10,482.44, 14,471.76 and 6,950.46 is: 9,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.44 : 14,471.76 = 6,950.46 : x
  2. Step 2: Convert to fraction form
    10,482.44/14,471.76 = 6,950.46/x
  3. Step 3: Cross multiply
    10,482.44x = 14,471.76 × 6,950.46
  4. Step 4: Simplify right side
    10,482.44x = 100,585,389.01
  5. Step 5: Solve for x
    x = 100,585,389.01/10,482.44
  6. Step 6: Final answer
    x = 9,595.61

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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.