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Finding the Fourth Proportional to 9,564.99, 13,199.99 and 5,788.86

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Solution

The fourth proportional to 9,564.99, 13,199.99 and 5,788.86 is: 7,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.99 : 13,199.99 = 5,788.86 : x
  2. Step 2: Convert to fraction form
    9,564.99/13,199.99 = 5,788.86/x
  3. Step 3: Cross multiply
    9,564.99x = 13,199.99 × 5,788.86
  4. Step 4: Simplify right side
    9,564.99x = 76,412,865.17
  5. Step 5: Solve for x
    x = 76,412,865.17/9,564.99
  6. Step 6: Final answer
    x = 7,988.81

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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.