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Finding the Fourth Proportional to 8,482.24, 11,704.80 and 4,704.94

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Solution

The fourth proportional to 8,482.24, 11,704.80 and 4,704.94 is: 6,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.24 : 11,704.80 = 4,704.94 : x
  2. Step 2: Convert to fraction form
    8,482.24/11,704.80 = 4,704.94/x
  3. Step 3: Cross multiply
    8,482.24x = 11,704.80 × 4,704.94
  4. Step 4: Simplify right side
    8,482.24x = 55,070,381.71
  5. Step 5: Solve for x
    x = 55,070,381.71/8,482.24
  6. Step 6: Final answer
    x = 6,492.43

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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.