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Finding the Fourth Proportional to 13,646.94, 18,832.69 and 7,678.47

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Solution

The fourth proportional to 13,646.94, 18,832.69 and 7,678.47 is: 10,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.94 : 18,832.69 = 7,678.47 : x
  2. Step 2: Convert to fraction form
    13,646.94/18,832.69 = 7,678.47/x
  3. Step 3: Cross multiply
    13,646.94x = 18,832.69 × 7,678.47
  4. Step 4: Simplify right side
    13,646.94x = 144,606,245.18
  5. Step 5: Solve for x
    x = 144,606,245.18/13,646.94
  6. Step 6: Final answer
    x = 10,596.24

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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.