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Finding the Fourth Proportional to 14,644.80, 21,964.95 and 4,784.13

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Solution

The fourth proportional to 14,644.80, 21,964.95 and 4,784.13 is: 7,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.80 : 21,964.95 = 4,784.13 : x
  2. Step 2: Convert to fraction form
    14,644.80/21,964.95 = 4,784.13/x
  3. Step 3: Cross multiply
    14,644.80x = 21,964.95 × 4,784.13
  4. Step 4: Simplify right side
    14,644.80x = 105,083,176.24
  5. Step 5: Solve for x
    x = 105,083,176.24/14,644.80
  6. Step 6: Final answer
    x = 7,175.46

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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.