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Finding the Fourth Proportional to 10,588.35, 15,882.53 and 9,786.45

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Solution

The fourth proportional to 10,588.35, 15,882.53 and 9,786.45 is: 14,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.35 : 15,882.53 = 9,786.45 : x
  2. Step 2: Convert to fraction form
    10,588.35/15,882.53 = 9,786.45/x
  3. Step 3: Cross multiply
    10,588.35x = 15,882.53 × 9,786.45
  4. Step 4: Simplify right side
    10,588.35x = 155,433,536.79
  5. Step 5: Solve for x
    x = 155,433,536.79/10,588.35
  6. Step 6: Final answer
    x = 14,679.68

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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.