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Finding the Fourth Proportional to 14,583, 21,878.16 and 4,194.75

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Solution

The fourth proportional to 14,583, 21,878.16 and 4,194.75 is: 6,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583 : 21,878.16 = 4,194.75 : x
  2. Step 2: Convert to fraction form
    14,583/21,878.16 = 4,194.75/x
  3. Step 3: Cross multiply
    14,583x = 21,878.16 × 4,194.75
  4. Step 4: Simplify right side
    14,583x = 91,773,411.66
  5. Step 5: Solve for x
    x = 91,773,411.66/14,583
  6. Step 6: Final answer
    x = 6,293.18

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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.