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Finding the Fourth Proportional to 14,433.64, 19,918.02 and 8,146.60

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Solution

The fourth proportional to 14,433.64, 19,918.02 and 8,146.60 is: 11,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.64 : 19,918.02 = 8,146.60 : x
  2. Step 2: Convert to fraction form
    14,433.64/19,918.02 = 8,146.60/x
  3. Step 3: Cross multiply
    14,433.64x = 19,918.02 × 8,146.60
  4. Step 4: Simplify right side
    14,433.64x = 162,264,141.73
  5. Step 5: Solve for x
    x = 162,264,141.73/14,433.64
  6. Step 6: Final answer
    x = 11,242.08

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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.