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Finding the Fourth Proportional to 10,692, 14,762.25 and 6,507.54

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Solution

The fourth proportional to 10,692, 14,762.25 and 6,507.54 is: 8,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 14,762.25 = 6,507.54 : x
  2. Step 2: Convert to fraction form
    10,692/14,762.25 = 6,507.54/x
  3. Step 3: Cross multiply
    10,692x = 14,762.25 × 6,507.54
  4. Step 4: Simplify right side
    10,692x = 96,065,932.37
  5. Step 5: Solve for x
    x = 96,065,932.37/10,692
  6. Step 6: Final answer
    x = 8,984.84

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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.