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Finding the Fourth Proportional to 10,614.83, 14,652.44 and 7,969.87

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Solution

The fourth proportional to 10,614.83, 14,652.44 and 7,969.87 is: 11,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.83 : 14,652.44 = 7,969.87 : x
  2. Step 2: Convert to fraction form
    10,614.83/14,652.44 = 7,969.87/x
  3. Step 3: Cross multiply
    10,614.83x = 14,652.44 × 7,969.87
  4. Step 4: Simplify right side
    10,614.83x = 116,778,050.34
  5. Step 5: Solve for x
    x = 116,778,050.34/10,614.83
  6. Step 6: Final answer
    x = 11,001.41

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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.