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Finding the Fourth Proportional to 7,797.07, 11,703.50 and 6,913.26

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Solution

The fourth proportional to 7,797.07, 11,703.50 and 6,913.26 is: 10,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.07 : 11,703.50 = 6,913.26 : x
  2. Step 2: Convert to fraction form
    7,797.07/11,703.50 = 6,913.26/x
  3. Step 3: Cross multiply
    7,797.07x = 11,703.50 × 6,913.26
  4. Step 4: Simplify right side
    7,797.07x = 80,909,343.24
  5. Step 5: Solve for x
    x = 80,909,343.24/7,797.07
  6. Step 6: Final answer
    x = 10,376.89

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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.