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Finding the Fourth Proportional to 9,704.80, 14,524.80 and 8,538.40

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Solution

The fourth proportional to 9,704.80, 14,524.80 and 8,538.40 is: 12,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.80 : 14,524.80 = 8,538.40 : x
  2. Step 2: Convert to fraction form
    9,704.80/14,524.80 = 8,538.40/x
  3. Step 3: Cross multiply
    9,704.80x = 14,524.80 × 8,538.40
  4. Step 4: Simplify right side
    9,704.80x = 124,018,552.32
  5. Step 5: Solve for x
    x = 124,018,552.32/9,704.80
  6. Step 6: Final answer
    x = 12,779.09

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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.