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Finding the Fourth Proportional to 9,611.70, 13,265.07 and 5,834.00

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Solution

The fourth proportional to 9,611.70, 13,265.07 and 5,834.00 is: 8,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.70 : 13,265.07 = 5,834.00 : x
  2. Step 2: Convert to fraction form
    9,611.70/13,265.07 = 5,834.00/x
  3. Step 3: Cross multiply
    9,611.70x = 13,265.07 × 5,834.00
  4. Step 4: Simplify right side
    9,611.70x = 77,388,352.05
  5. Step 5: Solve for x
    x = 77,388,352.05/9,611.70
  6. Step 6: Final answer
    x = 8,051.47

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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.