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Finding the Fourth Proportional to 14,646.13, 21,963.89 and 5,283.63

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Solution

The fourth proportional to 14,646.13, 21,963.89 and 5,283.63 is: 7,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.13 : 21,963.89 = 5,283.63 : x
  2. Step 2: Convert to fraction form
    14,646.13/21,963.89 = 5,283.63/x
  3. Step 3: Cross multiply
    14,646.13x = 21,963.89 × 5,283.63
  4. Step 4: Simplify right side
    14,646.13x = 116,049,068.12
  5. Step 5: Solve for x
    x = 116,049,068.12/14,646.13
  6. Step 6: Final answer
    x = 7,923.53

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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.