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Finding the Fourth Proportional to 10,494.80, 14,482.80 and 5,714.67

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Solution

The fourth proportional to 10,494.80, 14,482.80 and 5,714.67 is: 7,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.80 : 14,482.80 = 5,714.67 : x
  2. Step 2: Convert to fraction form
    10,494.80/14,482.80 = 5,714.67/x
  3. Step 3: Cross multiply
    10,494.80x = 14,482.80 × 5,714.67
  4. Step 4: Simplify right side
    10,494.80x = 82,764,422.68
  5. Step 5: Solve for x
    x = 82,764,422.68/10,494.80
  6. Step 6: Final answer
    x = 7,886.23

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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.