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Finding the Fourth Proportional to 14,453.64, 19,943.01 and 9,146.52

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Solution

The fourth proportional to 14,453.64, 19,943.01 and 9,146.52 is: 12,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.64 : 19,943.01 = 9,146.52 : x
  2. Step 2: Convert to fraction form
    14,453.64/19,943.01 = 9,146.52/x
  3. Step 3: Cross multiply
    14,453.64x = 19,943.01 × 9,146.52
  4. Step 4: Simplify right side
    14,453.64x = 182,409,139.83
  5. Step 5: Solve for x
    x = 182,409,139.83/14,453.64
  6. Step 6: Final answer
    x = 12,620.29

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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.