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Finding the Fourth Proportional to 13,467.66, 18,585.18 and 7,878.66

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Solution

The fourth proportional to 13,467.66, 18,585.18 and 7,878.66 is: 10,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.66 : 18,585.18 = 7,878.66 : x
  2. Step 2: Convert to fraction form
    13,467.66/18,585.18 = 7,878.66/x
  3. Step 3: Cross multiply
    13,467.66x = 18,585.18 × 7,878.66
  4. Step 4: Simplify right side
    13,467.66x = 146,426,314.26
  5. Step 5: Solve for x
    x = 146,426,314.26/13,467.66
  6. Step 6: Final answer
    x = 10,872.44

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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.