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Finding the Fourth Proportional to 10,157.63, 14,019.14 and 5,965.07

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Solution

The fourth proportional to 10,157.63, 14,019.14 and 5,965.07 is: 8,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.63 : 14,019.14 = 5,965.07 : x
  2. Step 2: Convert to fraction form
    10,157.63/14,019.14 = 5,965.07/x
  3. Step 3: Cross multiply
    10,157.63x = 14,019.14 × 5,965.07
  4. Step 4: Simplify right side
    10,157.63x = 83,625,096.26
  5. Step 5: Solve for x
    x = 83,625,096.26/10,157.63
  6. Step 6: Final answer
    x = 8,232.74

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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.