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Finding the Fourth Proportional to 7,794.69, 11,677.05 and 6,530.28

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Solution

The fourth proportional to 7,794.69, 11,677.05 and 6,530.28 is: 9,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.69 : 11,677.05 = 6,530.28 : x
  2. Step 2: Convert to fraction form
    7,794.69/11,677.05 = 6,530.28/x
  3. Step 3: Cross multiply
    7,794.69x = 11,677.05 × 6,530.28
  4. Step 4: Simplify right side
    7,794.69x = 76,254,406.07
  5. Step 5: Solve for x
    x = 76,254,406.07/7,794.69
  6. Step 6: Final answer
    x = 9,782.87

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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.