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Finding the Fourth Proportional to 9,834.96, 14,737.08 and 8,368.08

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Solution

The fourth proportional to 9,834.96, 14,737.08 and 8,368.08 is: 12,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.96 : 14,737.08 = 8,368.08 : x
  2. Step 2: Convert to fraction form
    9,834.96/14,737.08 = 8,368.08/x
  3. Step 3: Cross multiply
    9,834.96x = 14,737.08 × 8,368.08
  4. Step 4: Simplify right side
    9,834.96x = 123,321,064.41
  5. Step 5: Solve for x
    x = 123,321,064.41/9,834.96
  6. Step 6: Final answer
    x = 12,539.05

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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.