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Finding the Fourth Proportional to 7,701.84, 11,556.88 and 7,564.56

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Solution

The fourth proportional to 7,701.84, 11,556.88 and 7,564.56 is: 11,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.84 : 11,556.88 = 7,564.56 : x
  2. Step 2: Convert to fraction form
    7,701.84/11,556.88 = 7,564.56/x
  3. Step 3: Cross multiply
    7,701.84x = 11,556.88 × 7,564.56
  4. Step 4: Simplify right side
    7,701.84x = 87,422,712.17
  5. Step 5: Solve for x
    x = 87,422,712.17/7,701.84
  6. Step 6: Final answer
    x = 11,350.89

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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.