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Finding the Fourth Proportional to 13,643.52, 18,830.52 and 9,664.80

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Solution

The fourth proportional to 13,643.52, 18,830.52 and 9,664.80 is: 13,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.52 : 18,830.52 = 9,664.80 : x
  2. Step 2: Convert to fraction form
    13,643.52/18,830.52 = 9,664.80/x
  3. Step 3: Cross multiply
    13,643.52x = 18,830.52 × 9,664.80
  4. Step 4: Simplify right side
    13,643.52x = 181,993,209.70
  5. Step 5: Solve for x
    x = 181,993,209.70/13,643.52
  6. Step 6: Final answer
    x = 13,339.17

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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.