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Finding the Fourth Proportional to 14,101.56, 21,146.87 and 7,524.16

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Solution

The fourth proportional to 14,101.56, 21,146.87 and 7,524.16 is: 11,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.56 : 21,146.87 = 7,524.16 : x
  2. Step 2: Convert to fraction form
    14,101.56/21,146.87 = 7,524.16/x
  3. Step 3: Cross multiply
    14,101.56x = 21,146.87 × 7,524.16
  4. Step 4: Simplify right side
    14,101.56x = 159,112,399.32
  5. Step 5: Solve for x
    x = 159,112,399.32/14,101.56
  6. Step 6: Final answer
    x = 11,283.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.