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Finding the Fourth Proportional to 10,606.77, 14,644.67 and 6,629.67

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Solution

The fourth proportional to 10,606.77, 14,644.67 and 6,629.67 is: 9,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.77 : 14,644.67 = 6,629.67 : x
  2. Step 2: Convert to fraction form
    10,606.77/14,644.67 = 6,629.67/x
  3. Step 3: Cross multiply
    10,606.77x = 14,644.67 × 6,629.67
  4. Step 4: Simplify right side
    10,606.77x = 97,089,296.21
  5. Step 5: Solve for x
    x = 97,089,296.21/10,606.77
  6. Step 6: Final answer
    x = 9,153.52

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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.