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Finding the Fourth Proportional to 9,804.18, 14,704.74 and 8,148.94

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Solution

The fourth proportional to 9,804.18, 14,704.74 and 8,148.94 is: 12,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.18 : 14,704.74 = 8,148.94 : x
  2. Step 2: Convert to fraction form
    9,804.18/14,704.74 = 8,148.94/x
  3. Step 3: Cross multiply
    9,804.18x = 14,704.74 × 8,148.94
  4. Step 4: Simplify right side
    9,804.18x = 119,828,043.98
  5. Step 5: Solve for x
    x = 119,828,043.98/9,804.18
  6. Step 6: Final answer
    x = 12,222.14

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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.