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Finding the Fourth Proportional to 10,784.03, 14,883.44 and 6,536.79

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Solution

The fourth proportional to 10,784.03, 14,883.44 and 6,536.79 is: 9,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.03 : 14,883.44 = 6,536.79 : x
  2. Step 2: Convert to fraction form
    10,784.03/14,883.44 = 6,536.79/x
  3. Step 3: Cross multiply
    10,784.03x = 14,883.44 × 6,536.79
  4. Step 4: Simplify right side
    10,784.03x = 97,289,889.07
  5. Step 5: Solve for x
    x = 97,289,889.07/10,784.03
  6. Step 6: Final answer
    x = 9,021.67

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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.