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Finding the Fourth Proportional to 10,687.24, 14,749.14 and 6,961.24

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Solution

The fourth proportional to 10,687.24, 14,749.14 and 6,961.24 is: 9,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.24 : 14,749.14 = 6,961.24 : x
  2. Step 2: Convert to fraction form
    10,687.24/14,749.14 = 6,961.24/x
  3. Step 3: Cross multiply
    10,687.24x = 14,749.14 × 6,961.24
  4. Step 4: Simplify right side
    10,687.24x = 102,672,303.33
  5. Step 5: Solve for x
    x = 102,672,303.33/10,687.24
  6. Step 6: Final answer
    x = 9,607.00

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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.