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Finding the Fourth Proportional to 9,900.80, 14,833.20 and 7,834.40

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Solution

The fourth proportional to 9,900.80, 14,833.20 and 7,834.40 is: 11,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.80 : 14,833.20 = 7,834.40 : x
  2. Step 2: Convert to fraction form
    9,900.80/14,833.20 = 7,834.40/x
  3. Step 3: Cross multiply
    9,900.80x = 14,833.20 × 7,834.40
  4. Step 4: Simplify right side
    9,900.80x = 116,209,222.08
  5. Step 5: Solve for x
    x = 116,209,222.08/9,900.80
  6. Step 6: Final answer
    x = 11,737.36

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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.